Stability and Arithmetic
Algebraic Geometry
2009-11-04 v2 Number Theory
Abstract
Stability plays a central role in arithmetic. In this article, we explain some basic ideas and present certain constructions for such studies. There are two aspects: namely, general Class Field Theories for Riemann surfaces using semi-stable parabolic bundles & for p-adic number fields using what we call semi-stable filtered (phi,N;omega)-modules; and non-abelian zeta functions for function fields over finite fields using semi-stable bundles & for number fields using semi-stable lattices.
Cite
@article{arxiv.0904.1337,
title = {Stability and Arithmetic},
author = {Lin Weng},
journal= {arXiv preprint arXiv:0904.1337},
year = {2009}
}
Comments
121 pages