Period map of a certain K3 family with an G5-action

被引：4

作者：

Hashimoto, Kenji ^{[1
]}

Terasoma, Tomohide ^{[1
]}

机构：

[1] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK | 2011年 / 652卷

关键词：

FINITE-GROUPS; AUTOMORPHISMS; SURFACES; GEOMETRY; FORMS;

D O I：

10.1515/CRELLE.2011.014

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we study the period map of a certain one-parameter family of quartic K3 surfaces with an G(5)-action. We construct automorphic forms on the period domain as the pull-backs of theta constants of genus 2 by a modular embedding. Using these automorphic forms, we give an explicit presentation of the inverse period map.

引用

页码：1 / 65

页数：65

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