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Numerical cohomology

Name: Numerical cohomology
Creator: Thomas M. Price
Keywords: Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), 14G40 (Primary) 18G99 (Secondary), 0101 mathematics, 16. Peace & justice, Algebraic Geometry (math.AG), 01 natural sciences, 3. Good health

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 15 Mar 2017Embargo end date: 01 Jan 2015Publisher:Foundation Compositio MathematicaJournal:Algebraic Geometry, volume 4, pages 136-159 (eissn: 2214-2584,

Authors: Thomas M. Price;

doi: 10.14231/ag-2017-007 , 10.48550/arxiv.1509.05797

arXiv: http://arxiv.org/abs/1509.05797

Numerical cohomology

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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

Keywords

Mathematics - Algebraic Geometry, FOS: Mathematics, Mathematics - Category Theory, Category Theory (math.CT), 14G40 (Primary) 18G99 (Secondary), Algebraic Geometry (math.AG)

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