Semantic Scholar Open Access 2015 11 sitasi

Del Pezzo surfaces with $$\frac{1}{3}(1,1)$$13(1,1) points

A. Corti Liana Heuberger

Abstrak

We classify non-smooth del Pezzo surfaces with $$\frac{1}{3}(1,1)$$13(1,1) points in 29 qG-deformation families grouped into six unprojection cascades (this overlaps with work of Fujita and Yasutake in Classification of log del Pezzo surfaces of index three, arXiv:1401.1283 [math.AG]), we tabulate their biregular invariants, we give good model constructions for surfaces in all families as degeneracy loci in rep quotient varieties, and we prove that precisely 26 families admit qG-degenerations to toric surfaces. This work is part of a program to study mirror symmetry for orbifold del Pezzo surfaces (Akhtar et al. in Proc Am Math Soc 144(2):513–527, 2016).

Topik & Kata Kunci

Mathematics

Penulis (2)

A. Corti

Liana Heuberger

Format Sitasi

APA MLA BibTeX

Corti, A., Heuberger, L. (2015). Del Pezzo surfaces with $$\frac{1}{3}(1,1)$$13(1,1) points. https://doi.org/10.1007/S00229-016-0870-Y

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Informasi Jurnal

Tahun Terbit: 2015
Bahasa: en
Total Sitasi: 11×
Sumber Database: Semantic Scholar
DOI: 10.1007/S00229-016-0870-Y
Akses: Open Access ✓