We prove a relative GAGA theorem for perfect and pseudo-coherent complexes in non-archimedean analytic geometry, allowing bases given by Fredholm analytic rings, including those associated from affinoid perfectoid spaces. This answers a question raised in \cite{heuer2024padicnonabelianhodgetheory}. As an application, we show that for a proper scheme \(X\) and an Artin stack \(Y\) with suitable conditions, the analytification of the algebraic mapping stack \(\mathrm{Map}(X,Y)\) agrees with the intrinsic analytic mapping stack \(\mathrm{Map}(X^{\mathrm{an}},Y^{\mathrm{an}})\).
Let $\{F_n, n\ge 8\}$ be a family of diffeomorphisms on real rational surfaces that are birationally equivalent to birational maps on $\mathbf{P}^2(\mathbb{R})$. In this article, we investigate the mapping classes of the diffeomorphisms $F_n, n\ge 8$. These diffeomorphisms are reducible with unique invariant irreducible curves, and we determine the mapping classes of their restrictions, $\hat F_n, n \ge 8$, on the cut surfaces, showing that they are pseudo-Anosov and do not arise from Penner's construction. For $n=8$, Lehmer's number is realized as the stretch factor of $\hat F_8$, a pseudo-Anosov map on a once-punctured genus $5$ orientable surface. The diffeomorphism $\hat F_8$ is a new geometric realization of a Lehmer's number.
Charles Hamesse, Timothée Fréville, Juha Saarinen
et al.
Miniaturization of cameras and LiDAR sensors has enabled the development of wearable 3D mapping systems for emergency responders. These systems have the potential to revolutionize response capabilities by providing real-time, high-fidelity maps of dynamic and hazardous environments. We present our recent efforts towards the development of such ultra-portable 3D mapping systems. We review four different sensor configurations, either helmet-mounted or body-worn, with two different mapping algorithms that were implemented and evaluated during field trials. The paper discusses the experimental results with the aim to stimulate further discussion within the portable 3D mapping research community.
Modern development of society is impossible without effective management of natural resources, among which land resources play a key role. Land is the basis of economic activity, a source of food security and an integral element of ecological balance. In this regard, there is a need to improve land management systems, especially in the context of the rapid development of digital technologies and the globalisation of information processes.
The use of digital technologies, such as geographic information systems, remote sensing, big data and blockchain, creates new opportunities for effective monitoring, analysis and forecasting of land use changes. These tools help to ensure transparency of cadastral records, reduce the risks of abuse in land relations, and increase the accuracy and speed of management decision-making. At the same time, there is a growing demand for the integration of such technologies into management systems, which requires scientific justification and practical implementation.
In the face of growing challenges related to urbanisation, climate change and land degradation, digital technologies are an important tool for supporting sustainable development. In Ukraine, where a significant portion of land resources is in a state of environmental hazard and management systems often remain outdated, the introduction of modern digital solutions is not only promising but also urgent.
Thus, this article focuses on the current issues of integrating digital technologies into land management systems, which is essential for increasing their efficiency, transparency and sustainability. This study is aimed at identifying new approaches to solving land use problems adapted to modern challenges and needs of society.
The purpose of this article is to analyze the use of case study research strategy in the field of cadastral studies. The study reviews nineteen doctoral dissertations published in the cadastral research domain. The theoretical background of the case study research strategy is first explained. Major characteristics of the case study research strategy are then identified. Finally, guidelines are provided for the research approach, research design, data collection and data analysis focusing the cadastral case researches. Characteristic of “contextual inclusiveness” of the cadastral system and “how” and “why” questions posed by the researchers on contemporary events have mainly guided researchers to select case study research strategy in cadastral studies. The research design depends largely on the research problem and can be categorized into two groups as; Top-down and Bottom–up design approaches. Theory building prior to data collection process acts as a good foundation for the case studies. High intensity usage of case study research strategy is evident among real world application related issues rather than design focused issues. Multiple-case design approach and multiple data collection methods are popular among the cadastral researchers.
High-Definition (HD) maps are essential for the safety of autonomous driving systems. While existing techniques employ camera images and onboard sensors to generate vectorized high-precision maps, they are constrained by their reliance on single-frame input. This approach limits their stability and performance in complex scenarios such as occlusions, largely due to the absence of temporal information. Moreover, their performance diminishes when applied to broader perception ranges. In this paper, we present StreamMapNet, a novel online mapping pipeline adept at long-sequence temporal modeling of videos. StreamMapNet employs multi-point attention and temporal information which empowers the construction of large-range local HD maps with high stability and further addresses the limitations of existing methods. Furthermore, we critically examine widely used online HD Map construction benchmark and datasets, Argoverse2 and nuScenes, revealing significant bias in the existing evaluation protocols. We propose to resplit the benchmarks according to geographical spans, promoting fair and precise evaluations. Experimental results validate that StreamMapNet significantly outperforms existing methods across all settings while maintaining an online inference speed of $14.2$ FPS. Our code is available at https://github.com/yuantianyuan01/StreamMapNet.
We define orbifold mapping class groups (with marked points) and study them using their action on certain orbifold analogs of arcs and simple closed curves. Moreover, we establish a Birman exact sequence for suitable subgroups of orbifold mapping class groups. The short exact sequence allows us to deduce finite presentations of these groups. This is the basis for a similar discussion of orbifold braid groups in [6].
The proposed system provides for the development of a SAPR system (Airborne Remote Pilotage System) which can be
of assistance to the detailed perimeter, of wooded areas attacked by insects/pathogens and/or by forest fires in order to
transmit to the competent authorities the certification of these areas affected by environmental damage, in compliance with current legislation. This activity is normally carried out through the interpretation of satellite image analyzes with spatial resolutions that are not always adequate for the purpose, which often entails the need for re-perimeteration in the field carried out by operators equipped with GNSS handheld systems.
The paper considers the possibilities of implementing climate change mitigation initiatives in environmental land management measures, since land management itself is, by definition, a set of socio-economic and environmental measures. It is proposed to update land management projects providing ecological and economic substantiation of crop rotation and landscaping within the framework of decarbonization as an element of the European Green Deal with calculations of carbon sequestration from the atmosphere, depending on the crops provided for in crop rotations. The implementation of climate change mitigation initiatives is also proposed as part of the strategic environmental assessment of land management documentation in Ukraine, in particular, to assess planning decisions for the Climate and Air Quality criterion in the context of assessing changes in CO₂ release/absorption as one of the greenhouse gases that affect climate change. In the context of The European Green Deal, the article examines approaches to assessing greenhouse gas absorption (decarbonization) which can be implemented in Ukraine both within the framework of strategic environmental assessment of land management documentation and in environmental measures for land management, since the principles of land management include ensuring the priority of environmental safety requirements, protection of land resources and restoration of soil fertility, productivity of agricultural land, and establishment of a regime for environmental protection, health, recreation, and historical and cultural purposes.
Keywords: strategic environmental assessment, land management, green housing, carbon sequestration, decarbonization, land management documentation, climate change, land management measures, rural areas, Ukraine.
The balanced superelliptic mapping class group is the normalizer of the transformation group of the balanced superelliptic covering in the mapping class group of the total surface. We prove that the balanced superelliptic mapping class groups with either one marked point, one boundary component, or no marked points and boundary are generated by three elements. To prove this, we also show that its liftable mapping class groups are also generated by three elements. These generating sets are minimal except for several no marked points and boundary cases.
Compiling a high-level quantum circuit down to a low-level description that can be executed on state-of-the-art quantum computers is a crucial part of the software stack for quantum computing. One step in compiling a quantum circuit to some device is quantum circuit mapping, where the circuit is transformed such that it complies with the architecture's limited qubit connectivity. Because the search space in quantum circuit mapping grows exponentially in the number of qubits, it is desirable to consider as few of the device's physical qubits as possible in the process. Previous work conjectured that it suffices to consider only subarchitectures of a quantum computer composed of as many qubits as used in the circuit. In this work, we refute this conjecture and establish criteria for judging whether considering larger parts of the architecture might yield better solutions to the mapping problem. We show that determining subarchitectures that are of minimal size, i.e., of which no physical qubit can be removed without losing the optimal mapping solution for some quantum circuit, is a very hard problem. Based on a relaxation of the criteria for optimality, we introduce a relaxed consideration that still maintains optimality for practically relevant quantum circuits. Eventually, this results in two methods for computing near-optimal sets of subarchitectures$\unicode{x2014}$providing the basis for efficient quantum circuit mapping solutions. We demonstrate the benefits of this novel method for state-of-the-art quantum computers by IBM, Google and Rigetti.
In many western countries, publicly led mapping activities and recording information of land parcels and buildings and the related rights, restrictions, and responsibilities have established their roles as important pillars of a functioning society. National mapping, cadastral, and land registry authorities as public agencies responsible for conducting these tasks are in a key position in shaping the development of the whole land administration sector. Most of these authorities have formulated their purposes, directions, and goals in the form of strategies. There is, however, a lack of understanding of the type of goals these authorities pursue through their strategies and why. Using an online questionnaire as a method, this study explores the strategy goals as well as the strategy drivers of national mapping, cadastral, and land registry authorities. We find that the strategy goals converge to a great extent and relate particularly to digitalization, data properties, customers and needs of society, and organizational development. Further, we observe that the strategy work of these authorities is most often driven by changes in the customer needs and by changes in the government’s policies. The contribution of the study lies in providing an overview of how national mapping, cadastral, and land registry authorities frame their near-future development and in highlighting that albeit the goals, for the most part, align with the qualities of a good, neutral land administration system, the authorities show low tendency to pursue transformative or paradigmatic changes through their strategies.
The Soil and Water Assessment Tool (SWAT) enables the simulation of watershed and river basin quantity and quality of surface and ground water under the influence of land use, management, and climate change.
It can be used to monitor and control soil erosion, non-point source pollution and basin management.
The recent version (SWAT+) was implemented by a dedicated QGIS plugin (QSWAT) widening the userbase and the potential modelling application worldwide. QSWAT, along with additional software for preparing the input dataset and for performing
the calibration/validation phase, further extends the watershed modelling capabilities. Such tools and the growing diffusion of public open geospatial datasets are expected to increase the range of applications especially with the availability climate projections datasets.
The latter will enable users to simulate all the watersoil phenomena at watershed level under future conditions to better understand and plan suitable action for preserving the natural resources.
The cadaster functions laid down in the law should guarantee the safety of one’s rights. The reliability of the data gathered in the cadaster affects decisions concerning specific real estate or taken within the sphere of economic management. The legislation often requires the use of cadastral data, which makes it necessary to keep it up-to-date and coherent with the situation in the field. The effects of a lack of coherence may impact public finances and land management. Maintaining high-quality cadastral data is time-consuming and expensive. This study analysed the data coherence between the state in the field and cadastral documents. The analysis was based mainly on the information about the area of a plot and land use. The coherence index showed that the differences between registers and the state in the field range from 30% to 80%. This can be changed by comprehensive data modernisation, which can be facilitated using modern technology. Given the diverse use of cadastral data and the global trends in cadaster development and implementation of the third dimension, the currency and reliability of cadastral data become particularly important.
Among 3D models, Building Information Models (BIM) can potentially support the integrated management of buildings’ physical and legal aspects in cadastres. However, there is not a systematic approach to author the cadastral information into the BIM models. Moreover, the common approaches for data validation only check the final cadastral output, and they ignore the data generation steps as potential avenues for validation. Therefore, this study aims to develop the criteria and standards to check the spatial consistency and integrity of BIM-based cadastral data in the process of generating the data. The paper utilises a case study approach as its methodology to investigate the requirements of generating a BIM-based cadastral model and identify the issues within the process. The results include a formative assessment (i.e., multistep validation approach during the data generation) alongside a summative assessment (i.e., one-step validation approach at the end of data generation). This study found the summative assessment alone insufficient for 3D cadastral data validation. The paper concludes that a formative and summative assessment together can improve the validity of the data. The results will potentially bring more efficiency to modern land administration processes by avoiding the accumulation of errors in 3D cadastral data generation.
Let S be a surface and let Mod(S,K) be the mapping class group of S permuting a Cantor subset K of S. We prove two structure theorems for normal subgroups of Mod(S,K). (Purity:) if S has finite type, every normal subgroup of Mod(S,K) either contains the kernel of the forgetful map to the mapping class group of S, or it is `pure', i.e. it fixes the Cantor set pointwise. (Inertia:) for any n element subset Q of the Cantor set, there is a forgetful map from the pure subgroup PMod(S,K) of Mod(S,K) to the mapping class group of (S,Q) fixing Q pointwise. If N is a normal subgroup of Mod(S,K) contained in PMod(S,K), its image N_Q is likewise normal. We characterize exactly which finite-type normal subgroups N_Q arise this way. Several applications and numerous examples are also given.
Land administration in Sierra Leone is a complex issue. The current process of registration in Freetown is ineffective and disorganized, leading to a widening gap in the credibility of both the cadaster and registry. Surveying quality is inadequate due to lack of trained surveyors in modern electronic surveying and mapping techniques, and a shortage of equipment. Most of the confusion and contradictions dominating the typology of land issues in the provinces emanates from the general absence of well-established cadastral boundaries. The new national lands policy of Sierra Leone aspires to gradually formalize land transactions while respecting the customary systems. Mandatory land transaction recording and registration can be an effective step towards the implementation of land related policy. In parallel, communication and sensitization campaigns will be carried out to avoid situations where ignorance of the requirement to register land on a first served basis may violate the rights of genuine land owners because their land can be registered to somebody more familiar with the system. Government decentralization and empowerment of municipalities should improve the process efficiency. A Crucial requirement in order to build an effective and modern land administration and management system is to abandon the manual recording system and move towards a digital and computerized one.
In the early sixteenth century, the deltas of Rhine and Yangzi faced comparable ecological crises, but neither of these riverine societies was deterred by the mounting challenges. They independently developed divergent ways to not only defend against the encroaching water, but also reclaim new land from the water. This paper aims to examine the factors in the making of that transformation in these two riverine societies and to ask how they took different paths, why, and what were the implications of that divergence. In asking these questions, particular attention will be paid to the significance of technological and institutional breakthroughs in the Dutch case, such as highly efficient windmills for pumping water, the mapping of cadastral surveys with triangulation, the centralization of power in the local water boards (heemraden), and the involvement of the financial market. In the Chinese case, we focus on the importance of the developing domestic market, the relationship between state and society in local water management, and the formation of unique local land reclamation organizations.