Arithmetic structure of CMSZ fake projective planes

JOURNAL OF ALGEBRA

卷:305

Article

Kato, Fumiharu ; Ochiai, Hiroyuki

关键词: non-Archimedean uniformization;    discrete group;   

DOI  :  10.1016/j.jalgebra.2006.07.019

来源: Elsevier

【 摘 要 】

We show that the fake projective planes that are constructed from dyadic discrete subgroups discovered by Cartwright, Mantero, Steger, and Zappa are realized as connected components of certain unitary Shimura surfaces. As a corollary we show that these fake projective planes have models defined over the number field Q(root-3,root 5). (c) 2006 Published by Elsevier Inc.

【 授权许可】

Free