Numerical Cohomology

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.

To appear in Algebraic Geometry

References in corpus (1)

• A Note on Arithmetic Cohomologies for Number Fields

Cited by in corpus (1)

• Euclidean lattices, theta invariants, and thermodynamic formalism