Derived equivalence for the simple flop of type G2† via tilting bundles
Abstract
The aim of this article is to prove the derived equivalence for a local model of the simple flop of type G 2 † , which was found by Kanemitsu [9] . This flop is the only known simple flop that comes from a non-homogeneous roof. The proof of the derived equivalence is done by using tilting bundles, and also produces a noncommutative crepant resolution of the singularity that is derived equivalent to both sides of the flop.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Advanced Algebra and Geometry
Algebraic structures and combinatorial models
Publication details
- Journal / source
- Journal of Algebra
- Publisher
- Elsevier BV
- Volume
- 701
- Pages
- 137–153
- Publication date
- 23 April 2026
- Language
- EN