酉Shimura变上产生除数级数的模块化II:算术应用

IF 1 4区数学 Q1 MATHEMATICS

Asterisque Pub Date : 2017-02-25 DOI:10.24033/ast.1127

J. Bruinier, Benjamin J. Howard, S. Kudla, M. Rapoport, Tonghai Yang

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引用次数: 28

摘要

在与酉签名群（n-1,1）相关的Shimura变种的紧致积分模型上，我们形成了在Chow群和算术Chow群中取值的特殊除数的生成序列，并证明了它们的模块性。证明的主要内容是计算积分模型上Borcherds乘积除数中出现的垂直分量。

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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Modularity of generating series of divisors on unitary Shimura varieties II: arithmetic applications

We form generating series of special divisors, valued in the Chow group and in the arithmetic Chow group, on the compactified integral model of a Shimura variety associated to a unitary group of signature (n-1,1), and prove their modularity. The main ingredient of the proof is the calculation of the vertical components appearing in the divisor of a Borcherds product on the integral model.

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来源期刊

Asterisque MATHEMATICS-

CiteScore

2.90

自引率

0.00%

发文量

审稿时长

>12 weeks

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