Derived equivalence and non-vanishing loci
Mihnea Popa
TL;DR
This paper explores the invariance of cohomological support loci under derived equivalence, providing a proof for surfaces and discussing broader implications in algebraic geometry.
Contribution
It introduces a conjecture on the invariance of cohomological support loci under derived equivalence and proves it for surfaces.
Findings
Proof of the conjecture for surfaces
Discussion of consequences and further developments
Insight into the relationship between derived equivalence and cohomological support loci
Abstract
The paper proposes and motivates a conjecture on the invariance of cohomological support loci under derived equivalence. It contains a proof in the case of surfaces, and explains further developments and consequences.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Combinatorial Mathematics · Geometric and Algebraic Topology