Geometry of Numbers
Algebraic Geometry
2011-02-24 v2
Abstract
We develop a global cohomology theory for number fields by offering topological cohomology groups, an arithmetical duality, a Riemann-Roch type theorem, and two types of vanishing theorem. As applications, we study moduli spaces of semi-stable lattices, and introduce non-abelian zeta functions for number fields.
Cite
@article{arxiv.1102.1302,
title = {Geometry of Numbers},
author = {Lin Weng},
journal= {arXiv preprint arXiv:1102.1302},
year = {2011}
}
Comments
A paper by Tsukasa Hayashi is added