Derived equivalence for stratified Mukai flop on G(2,4)
Yujiro Kawamata
TL;DR
This paper establishes a derived equivalence for a specific geometric transformation called stratified Mukai flop on the Grassmannian G(2,4), contributing to the understanding of derived categories in algebraic geometry.
Contribution
It provides the first proof of derived equivalence for stratified Mukai flop on G(2,4), expanding the class of known derived equivalences in geometric transformations.
Findings
Derived equivalence proven for stratified Mukai flop on G(2,4)
Advances understanding of derived categories in algebraic geometry
Supports broader conjectures on derived equivalences in flops
Abstract
We prove that there is a derived equivalence for stratified Mukai flop on G(2,4).
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology