On ground fields of arithmetic hyperbolic reflection groups. II
Algebraic Geometry
2009-12-03 v3 Geometric Topology
Abstract
This paper continues arXiv.org:math.AG/0609256 and arXiv:0708.3991 Using authors's methods of 1980, 1981, some explicit finite sets of number fields containing all ground fields of arithmetic hyperbolic reflection groups in dimensions at least 4 are defined, and good explicit bounds of their degrees (over Q) are obtained. This could be important for further classification. Thus, now, an explicit bound of degree of ground fields of arithmetic hyperbolic reflection groups is unknown in dimension 3 only.
Keywords
Cite
@article{arxiv.0710.0162,
title = {On ground fields of arithmetic hyperbolic reflection groups. II},
author = {Viacheslav V. Nikulin},
journal= {arXiv preprint arXiv:0710.0162},
year = {2009}
}
Comments
Var3: 27 pages, 4 figures; unnecessary Corollary 3.3 removed