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arXiv · 1507.02595

Mukai flops and P-twists

N. Addington·W. Donovan·C. Meachan
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Abstract

Associated to a Mukai flop X ---> X' is on the one hand a sequence of equivalences D(X) -> D(X'), due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences of D(X), due to Huybrechts and Thomas. We work out a complete picture of the relationship between the two. We do the same for standard flops, relating Bondal and Orlov's derived equivalences to spherical twists, extending a well-known story for the Atiyah flop to higher dimensions.

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BibTeXRIS

N. Addington, W. Donovan, C. Meachan. 2015-07-09. Mukai flops and P-twists. https://doi.org/10.1515/crelle-2016-0024

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