SYMPLECTIC AUTOMORPHISMS AND THE PICARD GROUP OF A K3 SURFACE

被引：7

作者：

Whitcher, Ursula ^{[1
]}

机构：

[1] Univ Washington, Dept Math, Seattle, WA 98195 USA

来源：

COMMUNICATIONS IN ALGEBRA | 2011年 / 39卷 / 04期

基金：

美国国家科学基金会;

关键词：

Algebraic geometry; Complex surfaces; K3; surfaces; Moduli spaces; ALTERNATING GROUP; FINITE-GROUPS; DEGREE-6; GEOMETRY; LATTICES;

D O I：

10.1080/00927871003738949

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the symplectic action of a finite group G on a K3 surface X. The Picard group of X has a primitive sublattice determined by G. We show how to compute the rank and discriminant of this sublattice. We then investigate the classification of symplectic actions by a fixed finite group, using moduli spaces of K3 surfaces with symplectic G-action.

引用

页码：1427 / 1440

页数：14

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