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Type: Journal article
Title: The Riemann-Roch theorem on higher dimensional complex noncommutative tori
Author: Varghese, M.
Rosenberg, J.
Citation: Journal of Geometry and Physics, 2020; 147:103534-1-103534-9
Publisher: Elsevier
Issue Date: 2020
ISSN: 0393-0440
Statement of
Varghese Mathai, Jonathan Rosenberg
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.
Keywords: Noncommutative torus; Abelian variety; Index theory; Riemann–Roch Theorem; Hodge theorem
Rights: © 2019 Elsevier B.V. All rights reserved.
RMID: 1000005251
DOI: 10.1016/j.geomphys.2019.103534
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Appears in Collections:Mathematical Sciences publications

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