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

Chad Schoen

doi:10.3934/era.2014.21.132

Article Contents

2014, Volume 21: 132-136. Doi: 10.3934/era.2014.21.132

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

Chad Schoen^1,

1.
Department of Mathematics, Duke University, Box 90320, Durham, NC 27708-0320

Received: September 30, 2013

Revised: April 30, 2014

Published: December 2013

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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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Mathematics Subject Classification: 11F75 (14J29).

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