Semistability conditions defined by ample classes

Fuente: arXiv
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Main Authors: Mégy, Damien, Pavel, Mihai, Toma, Matei
Format: Preprint
Published: 2024
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author Mégy, Damien
Pavel, Mihai
Toma, Matei
author_facet Mégy, Damien
Pavel, Mihai
Toma, Matei
contents We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumptions, we show the existence of a well-behaved chamber structure for the variation of moduli spaces of sheaves with respect to the change of semistability.
format Preprint
id arxiv_https___arxiv_org_abs_2402_07758
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Semistability conditions defined by ample classes
Mégy, Damien
Pavel, Mihai
Toma, Matei
Algebraic Geometry
32G13, 14D20
We study a class of semistability conditions defined by a system of ample classes for coherent sheaves over a smooth projective variety. Under some necessary boundedness assumptions, we show the existence of a well-behaved chamber structure for the variation of moduli spaces of sheaves with respect to the change of semistability.
title Semistability conditions defined by ample classes
topic Algebraic Geometry
32G13, 14D20
url https://arxiv.org/abs/2402.07758