An introduction to Ulrich bundles

被引：62

作者：

Beauville, Arnaud ^{[1
]}

机构：

[1] Univ Cote Azur, Lab JA Dieudonne, CNRS, Parc Valrose, F-06108 Nice 2, France

来源：

EUROPEAN JOURNAL OF MATHEMATICS | 2018年 / 4卷 / 01期

关键词：

Ulrich bundle; Determinantal hypersurfaces; Enriques surface; Abelian surface; Bielliptic surface; Fano threefolds;

D O I：

10.1007/s40879-017-0154-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

After recalling the definition and basic properties of Ulrich bundles, we focus on the existence problem: does every smooth projective variety carry an Ulrich bundle? We show that the Serre construction provides a positive answer on certain surfaces and threefolds.

引用

页码：26 / 36

页数：11

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