Mukai flops and P-twists

التفاصيل البيبلوغرافية
العنوان: Mukai flops and P-twists
المؤلفون: Addington, N., Donovan, W., Meachan, C.
المصدر: J. reine angew. Math. 748:227-240, 2019
سنة النشر: 2015
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry
الوصف: 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.
Comment: 26 pages. Minor changes following referee's suggestions. This is an expanded version of the paper to appear in Crelle
نوع الوثيقة: Working Paper
DOI: 10.1515/crelle-2016-0024
URL الوصول: http://arxiv.org/abs/1507.02595
رقم الأكسشن: edsarx.1507.02595
قاعدة البيانات: arXiv
الوصف
DOI:10.1515/crelle-2016-0024