Categories of Constructible Sheaves

Fuente: arXiv
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Main Authors: Lunts, Valery, Schnuerer, Olaf
Format: Preprint
Published: 2026
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_version_ 1866909985573699584
author Lunts, Valery
Schnuerer, Olaf
author_facet Lunts, Valery
Schnuerer, Olaf
contents Given a stratified topological space, we answer the question whether the functor from the derived category of constructible sheaves to the derived category of sheaves with constructible cohomology is an equivalence. We also establish basic facts on the category of locally constant sheaves and on the category of constructible sheaves.
format Preprint
id arxiv_https___arxiv_org_abs_2601_05477
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Categories of Constructible Sheaves
Lunts, Valery
Schnuerer, Olaf
Algebraic Geometry
Given a stratified topological space, we answer the question whether the functor from the derived category of constructible sheaves to the derived category of sheaves with constructible cohomology is an equivalence. We also establish basic facts on the category of locally constant sheaves and on the category of constructible sheaves.
title Categories of Constructible Sheaves
topic Algebraic Geometry
url https://arxiv.org/abs/2601.05477