Mukai flops and P-twists
Algebraic Geometry
2019-04-11 v3
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.
Cite
@article{arxiv.1507.02595,
title = {Mukai flops and P-twists},
author = {N. Addington and W. Donovan and C. Meachan},
journal= {arXiv preprint arXiv:1507.02595},
year = {2019}
}
Comments
26 pages. Minor changes following referee's suggestions. This is an expanded version of the paper to appear in Crelle