An arithmetic ball quotient surface whose Albanese variety is not of CM type

Q3 Mathematics Electronic Research Announcements in Mathematical Sciences Pub Date : 2014-09-01 DOI:10.3934/ERA.2014.21.132

Chad Schoen

引用次数: 1

Abstract

An example is given of a compact quotient of the unit ball in $\mathbb{C}^2$ by an arithmetic group acting freely such that the Albanese variety is not of CM type. Such examples do not exist for congruence subgroups.

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一个不属于CM型的算术球商曲面

给出了$\mathbb{C}^2$中单位球的紧商的一个例子，该紧商由一个算术群自由作用，使得Albanese变体不属于CM型。同余子群不存在这样的例子。

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

Electronic Research Announcements in Mathematical Sciences 数学-数学

CiteScore

0.90

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Electronic Research Archive (ERA), formerly known as Electronic Research Announcements in Mathematical Sciences, rapidly publishes original and expository full-length articles of significant advances in all branches of mathematics. All articles should be designed to communicate their contents to a broad mathematical audience and must meet high standards for mathematical content and clarity. After review and acceptance, articles enter production for immediate publication. ERA is the continuation of Electronic Research Announcements of the AMS published by the American Mathematical Society, 1995—2007

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