ULRICH BUNDLES ON BRAUER-SEVERI VARIETIES

被引：0
|
作者：
Novakovic, Sasa [1 ]
机构：
[1] Heinrich Heine Univ, Math Inst, D-40225 Dusseldorf, Germany
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2023年
关键词：
REPRESENTATION TYPE; VECTOR-BUNDLES;
D O I：
10.1090/proc/14723
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
. 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.
引用
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页码：7 / 22
页数：16
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