The Max Noether Fundamental Theorem is Combinatorial

Details The Max Noether Fundamental Theorem is Combinatorial The Max Noether Fundamental Theorem is Combinatorial

2010-02-11

arxiv.org/abs/1002.2325v1

Mathematics

Algebraic Geometry

Scientific paper

In the present paper we give a reformulation of the Noether Fundamental Theorem for the special case where the three curves involved have the same degree. In this reformulation, the local Noether's Conditions are weakened. To do so we introduce the concept of Abstract Curve Combinatorics (ACC) which will be, in the context of plane curves, the analogue of matroids for hyperplane arrangements.

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