Adelaide Research & Scholarship
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https://hdl.handle.net/2440/122600
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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 1879-1662 |
| Statement of Responsibility: | 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. |
| DOI: | 10.1016/j.geomphys.2019.103534 |
| Grant ID: | http://purl.org/au-research/grants/arc/FL170100020 |
| Published version: | http://dx.doi.org/10.1016/j.geomphys.2019.103534 |
| Appears in Collections: | Aurora harvest 8 Mathematical Sciences publications |
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