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.
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页码：35 / 43
页数：9
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