Cohomological interpretation of quadratic modular symbols
Number Theory
2012-12-05 v2
Abstract
Bayer and Blanco-Chac\'on have recently defined quadratic modular symbols for the Shimura curves X(D,N) attached to Eichler orders of level N of an indefinite quaternion rational algebra of discriminant D. In this paper, we give a cohomological interpretation of these quadratic modular symbols. Explicit computations for the homology of some Shimura curves are also provided.
Keywords
Cite
@article{arxiv.1204.5670,
title = {Cohomological interpretation of quadratic modular symbols},
author = {Pilar Bayer and Iván Blanco-Chacón and Alberto F. Boix},
journal= {arXiv preprint arXiv:1204.5670},
year = {2012}
}
Comments
14 pages and 2 figures. Major revision of the previous draft, including change of title. Comments are welcome