Numerical Cohomology
Algebraic Geometry
2017-05-22 v2 Category Theory
Abstract
We develop a numerical approach to cohomology. Essentially, vector spaces and linear maps are replaced by real numbers, which represent dimensions of vector spaces and ranks of linear maps. We use this to refine ideas of Van der Geer and Schoof about the cohomology of Arakelov bundles.
Cite
@article{arxiv.1509.05797,
title = {Numerical Cohomology},
author = {Thomas M. Price},
journal= {arXiv preprint arXiv:1509.05797},
year = {2017}
}
Comments
To appear in Algebraic Geometry