Globally generated vector bundles on the Segre threefold with Picard number two

被引：1

作者：

Ballico, Edoardo ^{[1
]}

Huh, Sukmoon ^{[2
]}

Malaspina, Francesco ^{[3
]}

机构：

[1] Univ Trento, I-38123 Povo, TN, Italy

[2] Sungkyunkwan Univ, Suwon 440746, South Korea

[3] Politecn Torino, Corso Duca Abruzzi 24, I-10129 Turin, Italy

来源：

MATHEMATISCHE NACHRICHTEN | 2016年 / 289卷 / 5-6期

关键词：

Segre variety; vector bundles; globally generated; curves in projective spaces; CURVES;

D O I：

10.1002/mana.201500077

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We classify globally generated vector bundles on P1xP2 with small first Chern class, i.e. c1=(a,b), a+b3. Our main method is to investigate the associated smooth curves to globally generated vector bundles via the Hartshorne-Serre correspondence.

引用

页码：523 / 536

页数：14

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