Stability conditions on crepant resolutions of quotients of product varieties

Fuente: arXiv
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Main Authors: Perry, Alexander, Shah, Saket
Format: Preprint
Published: 2024
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author Perry, Alexander
Shah, Saket
author_facet Perry, Alexander
Shah, Saket
contents We construct stability conditions on crepant resolutions of certain quotients of product varieties, giving as a special case the first examples of stability conditions on strict Calabi-Yau varieties of arbitrary dimension. Along the way, we prove the crepant resolutions are derived equivalent to the corresponding quotient stacks, verifying an instance of a conjecture of Bondal and Orlov.
format Preprint
id arxiv_https___arxiv_org_abs_2404_09121
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stability conditions on crepant resolutions of quotients of product varieties
Perry, Alexander
Shah, Saket
Algebraic Geometry
We construct stability conditions on crepant resolutions of certain quotients of product varieties, giving as a special case the first examples of stability conditions on strict Calabi-Yau varieties of arbitrary dimension. Along the way, we prove the crepant resolutions are derived equivalent to the corresponding quotient stacks, verifying an instance of a conjecture of Bondal and Orlov.
title Stability conditions on crepant resolutions of quotients of product varieties
topic Algebraic Geometry
url https://arxiv.org/abs/2404.09121