Semiorthogonal decompositions for generalised Severi-Brauer schemes
Copyright policy )Semiorthogonal decompositions for generalised Severi-Brauer schemes
The purpose of this paper is to use conservative descent to study semi-orthogonal decompositions for some homogeneous varieties over general bases. We produce a semi-orthogonal decomposition for the bounded derived category of coherent sheaves on a generalized Severi-Brauer scheme. This extends known results for Sever-Brauer varieties and Grassmanianns. We use our results to construct semi-orthogonal decompositions for flag varieties over arbitrary bases. This generalises a result of Kapranov.
Special varieties, Mathematics - Algebraic Geometry, (Co)homology theory in algebraic geometry, Severi-Brauer varieties, FOS: Mathematics, Categorical algebra, semi-orthogonal decompositions, Algebraic Geometry (math.AG)
Special varieties, Mathematics - Algebraic Geometry, (Co)homology theory in algebraic geometry, Severi-Brauer varieties, FOS: Mathematics, Categorical algebra, semi-orthogonal decompositions, Algebraic Geometry (math.AG)
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