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 | 2024年 / 152卷 / 01期

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

页码：7 / 22

页数：16

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