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Mathematics > Algebraic Geometry

arXiv:1807.10919 (math)
[Submitted on 28 Jul 2018 (v1), last revised 20 Dec 2019 (this version, v2)]

Title:Ulrich bundles on Brauer--Severi varieties

Authors:Saša Novaković
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Abstract: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 $\mathrm{dim}(X)=p-1$ 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.
Comments: 14 pages, to appear in Proceedings of the American Mathematical Society, comments welcome!
Subjects: Algebraic Geometry (math.AG)
Cite as: arXiv:1807.10919 [math.AG]
  (or arXiv:1807.10919v2 [math.AG] for this version)
  https://doi.org/10.48550/arXiv.1807.10919

Submission history

From: Saša Novaković [view email]
[v1] Sat, 28 Jul 2018 10:15:25 UTC (16 KB)
[v2] Fri, 20 Dec 2019 11:30:26 UTC (17 KB)
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