SINGULAR CURVES WITH LINE BUNDLES L DEFINED OVER F-q AND WITH H-0(L) = H-1(L) = 0

被引：0

作者：

Ballico, Edoardo ^{[1
]}

机构：

[1] Univ Trento, Dept Math, Via Sommarive 14, Trento, TN, Italy

来源：

ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2013年 / 6卷 / 02期

关键词：

Singular curve over a finite field; seminormal singularity; line bundle defined over a finite field;

D O I：

10.1142/S179355711350023X

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we prove the existence of several pairs (X, L), where X is a geometrically integral projective curve defined over F-q and L is a line bundle on X defined over Fq and with H-0(X, L) = H-1(X, L) = 0. These examples are obtained using the existence of similar line bundles on the normalization of X, i.e. a case studied by C. Ballet, C. Ritzenthaler and R. Roland.

引用

页数：11

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