The analytic class number formula for $1$-dimensional affine schemes
Number Theory
2020-07-01 v3
Abstract
We derive an analytic class number formula valid for an order in a product of -integers in global fields, or equivalently for reduced finite-type affine schemes of pure dimension over .
Cite
@article{arxiv.1604.04564,
title = {The analytic class number formula for $1$-dimensional affine schemes},
author = {Bruce W. Jordan and Bjorn Poonen},
journal= {arXiv preprint arXiv:1604.04564},
year = {2020}
}
Comments
15 pages; a second example, of a non-maximal order in a number field, was added. Some proofs are explained in more detail