Ulrich bundles on Brauer–Severi varieties
Copyright policy )Ulrich bundles on Brauer–Severi varieties
We prove the existence of Ulrich bundles on any Brauer–Severi variety. In some cases, the minimal possible rank of the obtained Ulrich bundles equals the period of the Brauer–Severi variety. Moreover, we find a formula for the rank of an Ulrich bundle involving the period of the considered Brauer–Severi variety X X , at least if d i m ( X ) = p − 1 \mathrm {dim}(X)=p-1 for an odd prime p p . This formula implies that the rank of any Ulrich bundle on such a Brauer–Severi variety X X must be a multiple of the period.
Mathematics - Algebraic Geometry, Ulrich bundle, FOS: Mathematics, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Sheaves in algebraic geometry, Algebraic Geometry (math.AG), Brauer groups of schemes, Brauer-Severi variety
Mathematics - Algebraic Geometry, Ulrich bundle, FOS: Mathematics, Vector bundles on surfaces and higher-dimensional varieties, and their moduli, Sheaves in algebraic geometry, Algebraic Geometry (math.AG), Brauer groups of schemes, Brauer-Severi variety
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