The Riemann-Roch theorem on higher dimensional complex noncommutative tori

Varghese, M.; Rosenberg, J.

doi:10.1016/j.geomphys.2019.103534

The Riemann-Roch theorem on higher dimensional complex noncommutative tori

Date

2020

Authors

Varghese, M.

Rosenberg, J.

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Journal article

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Journal of Geometry and Physics, 2020; 147:103534-1-103534-9

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Varghese Mathai, Jonathan Rosenberg

DOI

10.1016/j.geomphys.2019.103534

Abstract

We prove analogues of the Riemann–Roch Theorem and the Hodge Theorem for noncommutative tori (of any dimension) equipped with complex structures, and discuss implications for the question of how to distinguish “noncommutative abelian varieties” from “non-algebraic” noncommutative complex tori.

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http://purl.org/au-research/grants/arc/FL170100020

Published Version

https://doi.org/10.1016/j.geomphys.2019.103534

Persistent link to this record

http://hdl.handle.net/2440/122600

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The Riemann-Roch theorem on higher dimensional complex noncommutative tori

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