Cones of Heegner divisors

IF 0.9 1区数学 Q2 MATHEMATICS

Journal of Algebraic Geometry Pub Date : 2017-05-16 DOI:10.1090/JAG/734

J. Bruinier, M. Moller

引用次数: 8

Abstract

We show that the cone of primitive Heegner divisors is finitely generated for many orthogonal Shimura varieties, including the moduli space of polarized K 3 K3 -surfaces. The proof relies on the growth of coefficients of modular forms.

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Heegner除数的Cones

我们证明了对于许多正交Shimura变型，包括极化k3k3曲面的模空间，原始Heegner因子锥是有限生成的。证明依赖于模形式系数的增长。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Algebraic Geometry 数学-数学

CiteScore

2.70

自引率

5.60%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Algebraic Geometry is devoted to research articles in algebraic geometry, singularity theory, and related subjects such as number theory, commutative algebra, projective geometry, complex geometry, and geometric topology. This journal, published quarterly with articles electronically published individually before appearing in an issue, is distributed by the American Mathematical Society (AMS). In order to take advantage of some features offered for this journal, users will occasionally be linked to pages on the AMS website.