Decomposition theorem for good moduli morphisms

Fuente: arXiv
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Auteur principal: Kinjo, Tasuki
Format: Preprint
Publié: 2024
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_version_ 1866909284093132800
author Kinjo, Tasuki
author_facet Kinjo, Tasuki
contents In this short note, we will explain that the good moduli space morphisms behave as if they are proper when we consider sheaf operations, though they are not separated. For example, the decomposition theorem and the base change theorem hold for these morphisms, which have applications to the cohomological study of moduli spaces.
format Preprint
id arxiv_https___arxiv_org_abs_2407_06160
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Decomposition theorem for good moduli morphisms
Kinjo, Tasuki
Algebraic Geometry
In this short note, we will explain that the good moduli space morphisms behave as if they are proper when we consider sheaf operations, though they are not separated. For example, the decomposition theorem and the base change theorem hold for these morphisms, which have applications to the cohomological study of moduli spaces.
title Decomposition theorem for good moduli morphisms
topic Algebraic Geometry
url https://arxiv.org/abs/2407.06160