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On multi-pointed non-commutative deformations and Calabi–Yau threefolds

Part of: Rings and algebras arising under various constructions Birational geometry Deformations of analytic structures Local theory

Published online by Cambridge University Press:  06 August 2018

Yujiro Kawamata
Yujiro Kawamata*
Affiliation:
Graduate School of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo, 153-8914, Japan email kawamata@ms.u-tokyo.ac.jp
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Abstract

We will develop a theory of multi-pointed non-commutative deformations of a simple collection in an abelian category, and construct relative exceptional objects and relative spherical objects in some cases. This is inspired by a work by Donovan and Wemyss.

Keywords

non-commutative deformationsimple collectionexceptional objectspherical objectCalabi–Yau threefold

MSC classification

Primary: 14B12: Local deformation theory, Artin approximation, etc. 14E30: Minimal model program (Mori theory, extremal rays) 16S80: Deformations of rings 32G10: Deformations of submanifolds and subspaces
Type
Research Article
Information
Compositio Mathematica , Volume 154 , Issue 9 , September 2018 , pp. 1815 - 1842
Copyright
© The Author 2018 

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