Nikulin involutions on K3 surfaces

被引：73

作者：

van Geemen, Bert

Sarti, Alessandra

机构：

[1] Univ Milan, Dipartimento Matemat, I-20133 Milan, Italy

[2] Univ Mainz, Inst Math, D-55099 Mainz, Germany

来源：

MATHEMATISCHE ZEITSCHRIFT | 2007年 / 255卷 / 04期

关键词：

K3; surfaces; automorphisms; moduli;

D O I：

10.1007/s00209-006-0047-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the maps induced on cohomology by a Nikulin (i.e. a symplectic) involution on a K3 surface. We parametrize the 11-dimensional irreducible components of the moduli space of algebraic K3 surfaces with a Nikulin involution and we give examples of the general K3 surface in various components. We conclude with some remarks on Morrison-Nikulin involutions, these are Nikulin involutions which interchange two copies of E (8)(-1) in the Neron Severi group.

引用

页码：731 / 753

页数：23

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