A categorical Torelli theorem for hypersurfaces

Author:

Pirozhkov Dmitrii1

Affiliation:

1. Steklov Mathematical Institute of Russian Academy of Sciences Moscow Russia

Abstract

AbstractLet be a smooth Fano hypersurface of dimension and degree . The derived category of coherent sheaves on  contains an interesting subcategory called the Kuznetsov component . We show that this subcategory, together with a certain autoequivalence called the rotation functor, determines uniquely if  or if  and . This generalizes a result by Huybrechts and Rennemo, who proved the same statement under the additional assumption that divides .

Funder

Horizon 2020

Ministry of Science and Higher Education of the Russian Federation

Publisher

Wiley

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