Noncommutative plane curves

Abstract

In this paper we study noncommutative plane curves, i.e. non-commutative k-algebras for which the 1-dimensional simple modules form a plane curve. We study extensions of simple modules and we try to enlighten the completion problem, i.e. understanding the connection between simple modules of different dimension.

31 pages

Cited by in corpus (2)

• On some approaches towards non-commutative algebraic geometry
• A quantum-trace determinantal formula for matrix commutators, and applications