Addington, N., Donovan, W. and Meachan, C. (2018) Mukai flops and P-twists. Journal für die Reine und Angewandte Mathematik (Crelles Journal), 2019(748), pp. 227-240. (doi: 10.1515/crelle-2016-0024)
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Abstract
Associated to a Mukai flop X⇢X′ is on the one hand a sequence of equivalences Db(X)→Db(X′), due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences of Db(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.
Item Type: | Articles |
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Additional Information: | Nicolas Addington was partially supported by NSF grant no. DMS-0905923. Will Donovan was supported by World Premier International Research Center Initiative (WPI Initiative), MEXT, Japan; and by EPSRC grant EP/G007632/1. Ciaran Meachan was supported by the EPSRC Doctoral Prize Research Fellowship Grant EP/K503034/1. |
Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Meachan, Dr Ciaran |
Authors: | Addington, N., Donovan, W., and Meachan, C. |
College/School: | College of Science and Engineering > School of Mathematics and Statistics > Mathematics |
Journal Name: | Journal für die Reine und Angewandte Mathematik (Crelles Journal) |
Publisher: | De Gruyter |
ISSN: | 0075-4102 |
ISSN (Online): | 1435-5345 |
Published Online: | 26 July 2016 |
Copyright Holders: | Copyright © 2016 De Gruyter |
First Published: | First published in Journal für die Reine und Angewandte Mathematik (Crelles Journal) 748(2019): 227–240 |
Publisher Policy: | Reproduced in accordance with the publisher copyright policy |
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