On positivity of line bundles on Enriques surfaces

被引：13

作者：

Szemberg, T ^{[1
]}

机构：

[1] Inst Math, PL-30059 Krakow, Poland

来源：

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY | 2001年 / 353卷 / 12期

关键词：

Enriques surfaces; Seshadri constants; generation of jets; k-very ampleness;

D O I：

10.1090/S0002-9947-01-02788-X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study linear systems on Enriques surfaces. We prove rationality of Seshadri constants of ample line bundles on Enriques surfaces and provide lower bounds on these numbers. We show the nonexistence of k-very ample line bundles on Enriques surfaces of degree 4k + 4 for k greater than or equal to 1, thus answering an old question of Ballico and Sommese.

引用

页码：4963 / 4972

页数：10

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