Perverse sheaves on smooth toric varieties and stacks
- Authors: Guminov S.V.1,2
-
Affiliations:
- Centre of Pure MathematicsMIPT
- National Research University Higher School of Economics, Moscow
- Issue: Vol 89, No 5 (2025)
- Pages: 80-106
- Section: Articles
- URL: https://journals.rcsi.science/1607-0046/article/view/331262
- DOI: https://doi.org/10.4213/im9687
- ID: 331262
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Abstract
It is usually not straightforward to work with the category of
perverse sheaves on a variety using only its definition as a heart
of a$t$ -structure. In this paper, the category of perverse sheaves
on a smooth toric variety with its orbit stratification is described
explicitly as a category of finite-dimensional modules over an
algebra. An analogous result is also established for various
categories of equivariant perverse sheaves, which in particular
gives a description of perverse sheaves on toric orbifolds, and we
also compare the derived category of the category of perverse
sheaves to the derived category of constructible sheaves.
perverse sheaves on a variety using only its definition as a heart
of a
on a smooth toric variety with its orbit stratification is described
explicitly as a category of finite-dimensional modules over an
algebra. An analogous result is also established for various
categories of equivariant perverse sheaves, which in particular
gives a description of perverse sheaves on toric orbifolds, and we
also compare the derived category of the category of perverse
sheaves to the derived category of constructible sheaves.
Keywords
About the authors
Sergey Vladimirovich Guminov
Centre of Pure MathematicsMIPT; National Research University Higher School of Economics, Moscow
Email: sergey.guminov@gmail.com
ORCID iD: 0000-0003-0009-0344
ResearcherId: U-2980-2019
without scientific degree, no status
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