Binary Hermitian forms over a cyclotomic field
Number Theory
2009-01-22 v1
Abstract
Let z be a primitive fifth root of unity and let F be the cyclotomic field F=Q(z). Let O be the ring of integers. We compute the Voronoi polyhedron of binary Hermitian forms over F and classify GL_2(O)-conjugacy classes of perfect forms. The combinatorial data of this polyhedron can be used to compute the cohomology of the arithmetic group GL_2(O) and Hecke eigen forms.
Keywords
Cite
@article{arxiv.0901.3346,
title = {Binary Hermitian forms over a cyclotomic field},
author = {Dan Yasaki},
journal= {arXiv preprint arXiv:0901.3346},
year = {2009}
}
Comments
11 pages, 1 table