A Characterization of Holomorphic Borcherds Lifts by Symmetries

被引：8

作者：

Heim, Bernhard ^{[1
]}

Murase, Atsushi ^{[2
]}

机构：

[1] German Univ Technol Oman GUtech, Dept Math & Sci, Muscat, Oman

[2] Kyoto Sangyo Univ, Dept Math Sci, Kita Ku, Kyoto 6038555, Japan

来源：

INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2015年 / 2015卷 / 21期

基金：

日本学术振兴会;

关键词：

MODULAR-FORMS; AUTOMORPHIC-FORMS; ENRIQUES SURFACES; GRADED RINGS; ALGEBRAS; PRODUCTS; SPACE;

D O I：

10.1093/imrn/rnv021

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we show that, in the holomorphic automorphic case, the Borcherds lifts on the orthogonal group O(2, n+2) are characterized by certain symmetries and describe the inverse of the Borcherds lifting in terms of Fourier-Jacobi expansion. We also give a characterization of the modular polynomials by certain symmetries.

引用

页码：11150 / 11185

页数：36

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