The Riemann-Roch Theorem on higher dimensional complex noncommutative tori
Operator Algebras
2023-05-19 v1 Algebraic Geometry
K-Theory and Homology
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.
Cite
@article{arxiv.1907.10200,
title = {The Riemann-Roch Theorem on higher dimensional complex noncommutative tori},
author = {Varghese Mathai and Jonathan Rosenberg},
journal= {arXiv preprint arXiv:1907.10200},
year = {2023}
}
Comments
15 pages