The Max Noether Fundamental Theorem is Combinatorial
Algebraic Geometry
2010-02-12 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1002.2325,
title = {The Max Noether Fundamental Theorem is Combinatorial},
author = {J. I. Cogolludo-Agustín and M. Á. Marco Buzunáriz},
journal= {arXiv preprint arXiv:1002.2325},
year = {2010}
}