Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori
Quantum Algebra
2017-04-04 v5 Algebraic Geometry
Abstract
The first part of these notes gives an introduction to noncommutative projective geometry after Artin--Zhang. The second part provides an overview of the work of Polishchuk that reconciles noncommutative two-tori having real multiplication with the Artin--Zhang setting.
Cite
@article{arxiv.math/0610043,
title = {Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori},
author = {Snigdhayan Mahanta},
journal= {arXiv preprint arXiv:math/0610043},
year = {2017}
}
Comments
Final version - exposition improved; a proof of the derived equivalence added (Prop. 3.8). To appear in the proceedings volume of the "International Workshop on Noncommutative Geometry", IPM, Tehran 2005