Noncommutative plane curves
  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. 
S. J{\o}ndrup, O. A. Laudal, A. B. Sletsj{\o}e