Seshadri Constants of K3 Surfaces of Degrees 6 and 8

被引：4

作者：

Galati, Concettina ^{[1
]}

Knutsen, Andreas Leopold ^{[2
]}

机构：

[1] Univ Calabria, Dipartimento Matemat, I-87036 Arcavacata Di Rende, CS, Italy

[2] Univ Bergen, Dept Math, Johs Brunsgt 12, N-5008 Bergen, Norway

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2013年 / 2013卷 / 17期

关键词：

PROJECTIVE MODELS; CURVES;

D O I：

10.1093/imrn/rns174

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We compute Seshadri constants on K3 surfaces X of degrees 6 and 8. We also prove that if X is any embedded K3 surface of degree 2r-2 >= 8 in not containing lines, then 1 <epsilon(X)< 2 if and only if the homogeneous ideal of X is not generated by only quadrics (in which case epsilon(X) = 3/2).

引用

页码：4072 / 4084

页数：13

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