Equivariant derived category of flat families
Sa\v{s}a Novakovi\'c
TL;DR
This paper proves the existence of tilting bundles on global quotient stacks arising from compatible finite group actions on flat families, advancing the understanding of derived categories in algebraic geometry.
Contribution
It introduces a method to construct tilting bundles on quotient stacks in the context of flat families with group actions.
Findings
Existence of tilting bundles on certain quotient stacks
Compatibility conditions for finite group actions
Application to derived category equivalences
Abstract
We prove the existence of tilting bundles on global quotient stacks that are produced by compatible finite group actions on flat families.
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Taxonomy
TopicsAlgebraic structures and combinatorial models · Homotopy and Cohomology in Algebraic Topology · Advanced Algebra and Geometry