Mukai flops and ℙ-twists
Associated to a Mukai flop is on the one hand a sequence of equivalences , due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences of , due to Huybrechts and Thomas. We work out a complete picture of the relationship between the two. We do the same for standard flops, rela...
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| Veröffentlicht in: | Journal für die reine und angewandte Mathematik 2019-03, Vol.2019 (748), p.227-240 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | eng |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | Associated to a Mukai flop
is on the one hand a sequence of equivalences
, due to Kawamata and Namikawa, and on the other hand a sequence of autoequivalences of
, 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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| ISSN: | 0075-4102 1435-5345 |
| DOI: | 10.1515/crelle-2016-0024 |