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 G2, 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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