ELLIPTIC FIBRATIONS AND SYMPLECTIC AUTOMORPHISMS ON K3 SURFACES

被引：27

作者：

Garbagnati, Alice ^{[1
]}

Sarti, Alessandra ^{[2
]}

机构：

[1] Univ Milan, Dipartimento Matemat, Milan, Italy

[2] Univ Poitiers, Lab Math & Applicat, Poitiers, France

来源：

COMMUNICATIONS IN ALGEBRA | 2009年 / 37卷 / 10期

关键词：

Elliptic fibrations; K3; surfaces; Lattices; Symplectic automorphisms; CURVES;

D O I：

10.1080/00927870902828785

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Nikulin has classified all finite abelian groups acting symplectically on a K3 surface and he has shown that the induced action on the K3 lattice U(3) circle plus E(8)(-1)(2) depends only on the group but not on the K3 surface. For all the groups in the list of Nikulin we compute the invariant sublattice and its orthogonal complement by using some special elliptic K3 surfaces.

引用

页码：3601 / 3631

页数：31

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