Nikulin involutions on K3 surfaces

被引：71
|
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.
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页码：731 / 753
页数：23
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