A semiorthogonal decomposition for Brauer Severi schemes
Marcello Bernardara
TL;DR
This paper introduces a semiorthogonal decomposition for the derived category of coherent sheaves on Brauer Severi schemes, extending understanding to non-smooth cases using twisted sheaves.
Contribution
It provides a novel semiorthogonal decomposition framework for Brauer Severi schemes involving twisted coherent sheaves, especially in non-smooth contexts.
Findings
Decomposition applies to non-smooth Brauer Severi schemes.
Utilizes categories of twisted coherent sheaves on the base.
Extends derived category techniques to more general schemes.
Abstract
A semiorthogonal decomposition for the bounded derived category (the category of perfect complexes in a non smooth case) of coherent sheaves on a Brauer Severi scheme is given. It relies on bounded derived categories (categories of perfect complexes in a non smooth case) of suitably twisted coherent sheaves on the base.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Nonlinear Waves and Solitons · Advanced Algebra and Geometry