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

Abstract

We shall 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.

30 pages

References in corpus (1)

• A note on spherical functors

Cited by in corpus (13)

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• A new equivalence between singularity categories of commutative algebras
• Non-commutative derived moduli prestacks
• Non-commutative deformations of simple objects in a category of perverse coherent sheaves
• Categorifying non-commutative deformations
• On non-commutative formal deformations of coherent sheaves on an algebraic variety
• Derived categories of nodal del Pezzo threefolds
• Nodal quintic del Pezzo threefolds and their derived categories
• On the derived category of a weighted projective threefold