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In the present paper we give a reformulation of the Noether FundamentalTheorem for the special case where the three curves involved have the samedegree. In this reformulation, the local Noether's Conditions are weakened. Todo so we introduce the concept of Abstract Curve Combinatorics (ACC) which willbe, in the context of plane curves, the analogue of matroids for hyperplanearrangements.

The Max Noether Fundamental Theorem is Combinatorial