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arXiv:1509.05797math.AG

Numerical Cohomology

Thomas M. Price

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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.

arXiv comments
To appear in Algebraic Geometry
Journal reference
Algebraic Geometry 4 (2) (2017) 136-159
DOI
doi:10.14231/AG-2017-007
Subjects
math.AGAlgebraic Geometry math.CTCategory Theory

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  1. How to Learn Advanced Mathematics Without Heading to University – Part 3 1 comment

    • If you don't consider the topics mungoid mentioned to be advanced math, perhaps you'll still consider this to be: http://arxiv.org/abs/1509.05797 It was accepted to Algebraic Geometry in May, (the Foundation Compositio Mathematica journal, not JAG), so it will probably appear…

      tprice7View on HNParent context

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