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arXiv · 2412.14314

Derived equivalence for the simple flop of type $G_2^{\dagger}$ via tilting bundles

Wahei Hara
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Abstract

The aim of this article is to prove the derived equivalence for a local model of the simple flop of type $G_2^{\dagger}$, which was found by Kanemitsu. 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.

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BibTeXRIS

Wahei Hara. 2026-04-29. Derived equivalence for the simple flop of type $G_2^{\dagger}$ via tilting bundles. https://doi.org/10.1016/j.jalgebra.2026.03.041

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