arXiv Open Access 2025

Some criteria for positive forms and applications

Filippo Fagioli Asia Mainenti

Lihat Sumber

Abstrak

The aim of this paper is to gain a better understanding of weak and strong positivity for exterior forms on complex vector spaces. We prove a dimensionality reduction argument for positive forms, which allows us to restrict to the case of $(2,2)$-forms in $\mathbb{C}^4$. In this setting, we find criteria for weak positivity based on the associated Hermitian matrix. As an application we prove, by duality, the strong positivity of some families of $(2,2)$-forms, already of interest in works by other authors.

Topik & Kata Kunci

math.DG math.CV

Penulis (2)

Filippo Fagioli

Asia Mainenti

Format Sitasi

APA MLA BibTeX

Fagioli, F., Mainenti, A. (2025). Some criteria for positive forms and applications. https://arxiv.org/abs/2502.17317

Akses Cepat

Lihat di Sumber

Informasi Jurnal

Tahun Terbit: 2025
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓