2018/07/28 by Saša Novaković, Novaković, Saša
Mathematics · #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG
paper · pdf · doi:10.48550/arxiv.1807.10919
14 pages, to appear in Proceedings of the American Mathematical Society, comments welcome!
arxiv created 2019/12/20 · arxiv updated 2019/12/23
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, at least if dim(X)=p-1 for an odd prime p. This formula implies that the rank of any Ulrich bundle on such a Brauer--Severi variety X must be a multiple of the period.