Some remarks on the group of derived autoequivalences

Fabrice Rosay

Some remarks on the group of derived autoequivalences

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arxiv 0907.3880 v1 pith:7ZAH6RO6 submitted 2009-07-22 math.AG

Fabrice Rosay This is my paper · ORCID

classification math.AG

keywords groupderivedautoequivalencescomponentneutralproveautomorphismsconcerning

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We prove that the neutral component of the group of derived autoequivalences of a smooth projective variety is the semi-direct product of the neutral component of its Picard group and its group of automorphisms. We use this result to prove several results concerning pairs of derived equivalent varieties.

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Semi-Homogeneous Sheaves and Twisted Derived Categories
math.AG 2024-11 conditional novelty 6.0 of 10

A torsor under an abelian variety is twisted derived equivalent to another smooth variety exactly when that variety is a moduli space of simple semi-homogeneous sheaves on the torsor, with the universal obstruction as...

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