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Non-commutative complex differential geometry

Edwin Beggs Orcid Logo, S. Paul Smith

Journal of Geometry and Physics, Volume: 72, Pages: 7 - 33

Swansea University Author: Edwin Beggs Orcid Logo

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Abstract

The paper sets out the theory of noncommutative complex differential structures, and relates it to the existing literature on noncommutative algebraic geometry. The eventual idea is to to motivate work to make a noncommutative analogue of Serre's Geometric / Algebraic correspondence.

Published in: Journal of Geometry and Physics
ISSN: 0393-0440
Published: Elsevier 2013
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URI: https://cronfa.swan.ac.uk/Record/cronfa13892
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Abstract: The paper sets out the theory of noncommutative complex differential structures, and relates it to the existing literature on noncommutative algebraic geometry. The eventual idea is to to motivate work to make a noncommutative analogue of Serre's Geometric / Algebraic correspondence.
Keywords: noncommutative algebraic geometry, holomorphic sheaves, complex structures
College: Faculty of Science and Engineering
Start Page: 7
End Page: 33