Note on a Geometric Isogeny of K3 Surfaces

被引：23

作者：

Clingher, Adrian ^{[1
]}

Doran, Charles F. ^{[2
]}

机构：

[1] Univ Missouri, Dept Math & Comp Sci, St Louis, MO 63108 USA

[2] Univ Alberta, Dept Math & Stat Sci, Edmonton, AB T6G 2G1, Canada

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2011年 / 2011卷 / 16期

关键词：

D O I：

10.1093/imrn/rnq230

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establishes a correspondence relating two specific classes of complex algebraic K3 surfaces. The first class consists of K3 surfaces polarized by the rank-16 lattice H circle plus E-7 circle plus E-7. The second class consists of K3 surfaces obtained as minimal resolutions of double covers of the projective plane branched over a configuration of six lines. The correspondence underlies a geometric 2-isogeny of K3 surfaces.

引用

页码：3657 / 3687

页数：31

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