On curves on K3 surfaces, II

被引：0

作者：

Martens, Gerriet ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Dept Math, Cauerstr 11, D-91058 Erlangen, Germany

来源：

ARCHIV DER MATHEMATIK | 2018年 / 110卷 / 01期

关键词：

Clifford index; K3; surfaces;

D O I：

10.1007/s00013-017-1094-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the Clifford index c of a smooth irreducible curve X in the linear series |2H| on a special K3 surface S of degree 2n in , with hyperplane section H, and we look for the complete and base point free linear series of S whose restrictions to X compute c. In a more general context, we discuss the features of such series, for an assigned curve on a K3 surface; this discussion is of some independent interest.

引用

页码：35 / 43

页数：9

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