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A semiorthogonal decomposition for Brauer Severi schemes

Marcello Bernardara
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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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Marcello Bernardara. 2005-11-20. A semiorthogonal decomposition for Brauer Severi schemes. https://arxiv.org/abs/math/0511497

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