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Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori · arXivDesk

math/0610043Oct 1, 2006Final 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

Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori

Snigdhayan Mahanta

Quantum Algebra Algebraic Geometry

arXiv PDF

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.

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The paper addresses: Lecture Notes on Noncommutative Algebraic Geometry and Noncommutative Tori.
The first part of these notes gives an introduction to noncommutative projective geometry after Artin--Zhang.

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Author comment: 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