Twisted derived categories and Rouquier functors
Martin Olsson
TL;DR
This paper explores the algebraic structure of automorphism groups of twisted derived categories of coherent sheaves on smooth projective varieties, extending Rouquier's results to the twisted setting.
Contribution
It generalizes Rouquier's results on derived categories to include twisted cases involving Brauer classes.
Findings
Automorphism groups of twisted derived categories are characterized.
Generalization of Rouquier's theorems to twisted contexts.
New insights into the structure of derived categories with Brauer twists.
Abstract
We study the algebraic structure of the automorphism group of the derived category of coherent sheaves on a smooth projective variety twisted by a Brauer class. Our main results generalize results of Rouquier in the untwisted case.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic structures and combinatorial models · Intracranial Aneurysms: Treatment and Complications