Noncommutative projective geometry

By J. T. Stafford. 2003

59 citations recorded by the source corpus.

This article describes recent applications of algebraic geometry to noncommutative algebra. These techniques have been particularly successful in describing graded algebras of small dimension.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/6be649280bf129e87e739c4cf2e0a2ab9949628d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. R. Berger
2. V. Ginzburg
3. N. Marconnet
4. N. Hitchin
5. I. Losev
6. A. Premet
7. Travis Schedler
8. Raf Bocklandt

In Geometry and Topology

1. R. Berger
2. V. Ginzburg
3. N. Hitchin
4. N. Marconnet
5. M. Gualtieri
6. D. Waldram
7. G. Cavalcanti
8. M. Graña

In Mathematical Physics

1. V. Ginzburg
2. N. Hitchin
3. N. Marconnet
4. R. Berger
5. M. Gualtieri
6. I. Losev
7. G. Cavalcanti
8. A. Premet

Citations in the corpus

• Lectures on Noncommutative Geometry (2005, methodology): “The interested reader is referred to [ St ] and [SvB] for an excellent reviews.”
• Bihermitian metrics on Del Pezzo surfaces (2006, methodology): “This data coincides with the algebraic version of noncommutative geometry espoused by Artin, van den Bergh, and Stafford (see [8]), so that our deformation of a Kähler metric to a bihermitian one tracks a deformation from a commutative Del Pezzo surface to a noncommutative one.”
• Koszul and Gorenstein Properties for Homogeneous Algebras (2003, background): “Koszul algebras, Gorenstein algebras, N -complexes, Hochschild (co)homology.”