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
收藏
页码：4072 / 4084
页数：13
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