On p-local Topological Automorphic Forms for $U(1,1;\mathbb{Z}[i])$
Algebraic Topology
2016-09-29 v1 Algebraic Geometry
Abstract
We present a new flavor of TAF-type (co)homology theories, which are p-local of height two and based on the isometry group of the odd unimodular hermitian lattice of signature (1,1) over the Gaussian integers. Using a suitable family of hyperelliptic curves, we explicitly construct a genus to automorphic forms, prove an integrality statement and verify Landweber's criterion.
Cite
@article{arxiv.1609.08869,
title = {On p-local Topological Automorphic Forms for $U(1,1;\mathbb{Z}[i])$},
author = {Hanno von Bodecker and Sebastian Thyssen},
journal= {arXiv preprint arXiv:1609.08869},
year = {2016}
}
Comments
22 pages