Non-commutative quadrics

TL;DR

This paper explores non-commutative analogues of the product of two projective lines, providing a framework for understanding their deformations and properties in a non-commutative setting.

Contribution

It introduces non-commutative versions of d7 d7, expanding the understanding of non-commutative algebraic geometry.

Findings

Description of non-commutative d7 d7

Includes non-commutative deformations of d7 d7

Framework for non-commutative projective geometry

Abstract

In this paper we describe non-commutative versions of $\PP^1\times \PP^1$. These contain the class of non-commutative deformations of $\PP^1\times \PP^1$.