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arXiv · hep-th/0410108

Noncommutative Riemann Conditions

Eunsang Kim·Hoil Kim
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Abstract

In this paper we study the holomorphic bundles over a noncommutative complex torus. We define a noncommutative abelian variety as a kind of deformation of abelian variety and we show that for a restricted deformation parameter, one can define a noncommutative abelian variety. Also, along the cohomological deformation, we discuss the noncommutative analogue of usual Riemann conditions. This will be done by using the real cohomologies instead of the rational ones.

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Eunsang Kim, Hoil Kim. 2004-10-11. Noncommutative Riemann Conditions. https://arxiv.org/abs/hep-th/0410108

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