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Noncommutative plane curves

S. Jøndrup, O. A. Laudal, A. B. Sletsjøe

math.AGarXiv:math/0405350

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.

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