Derived Equivalences for Terminal Threefold Flops via Local Index-One Covering Models
Xingbang Hao
Abstract
Inspired by the quadratic involutions of Corti-Pukhlikov-Reid and Gavin Brown's description of hypersurface flips via toric GIT, we apply similar symmetries to local covering models of terminal threefold flops. We recover the derived equivalence of their canonical stacks by pullback and pushforward along the fibre product over the canonical stack of the contraction target, revisiting the local picture in Kawamata's work.
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