TL;DR
This paper explores the relationships between derived categories of coherent sheaves on local models for stratified Mukai or Atiyah flops, revealing natural equivalences that deepen understanding of these geometric transformations.
Contribution
It constructs natural equivalences between derived categories for local models of stratified Mukai or Atiyah flops, advancing the theoretical framework in algebraic geometry.
Findings
Established natural equivalences between derived categories
Enhanced understanding of stratified Mukai and Atiyah flops
Provided new tools for studying flops in algebraic geometry
Abstract
We construct natural equivalences between derived categories of coherent sheaves on the local models for stratified Mukai or Atiyah flops (of type A).
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