Arithmetic structure of CMSZ fake projective planes
代数几何
2007-05-23 v1
摘要
We prove that the fake projective planes constructed from the diadic discrete group discovered by Cartwright, Mantero, Steger, and Zappa are connected Shimura varieties associated to a certain unitary group. The necessary Shimura data, as well as the unitary group, are explicitly described. We also give a field of definition of these fake projective planes.
引用
@article{arxiv.math/0006223,
title = {Arithmetic structure of CMSZ fake projective planes},
author = {Fumiharu Kato and Hiroyuki Ochiai},
journal= {arXiv preprint arXiv:math/0006223},
year = {2007}
}
备注
14 pages, LaTeX2e + Euler font