Arakelov theory of noncommutative arithmetic surfaces
Number Theory
2008-03-24 v2 Algebraic Geometry
Abstract
The purpose of this paper is to initiate Arakelov theory in a noncommutative setting. More precisely, we are concerned with noncommutative arithmetic surfaces. We introduce a version of arithmetic intersection theory on noncommutative arithmetic surfaces and we prove an arithmetic Riemann-Roch theorem in this setup.
Cite
@article{arxiv.0801.1225,
title = {Arakelov theory of noncommutative arithmetic surfaces},
author = {Thomas Borek},
journal= {arXiv preprint arXiv:0801.1225},
year = {2008}
}
Comments
20 pages