2010/02/11 by Cogolludo-Agustín, J. I., Miguel Ángel Marco-Buzunáriz, Buzunáriz, M. Á. Marco
Computer Science · Mathematics · #14B05 #14C22 #14F25 #14H50 #14Q05 #32K07 #58K65 #Advanced Database Systems and Queries #Algebraic Geometry (math.AG) #Computability, Logic, AI Algorithms #FOS: Mathematics #Mathematics and Applications
paper · pdf · doi:10.48550/arxiv.1002.2325
openalex publication_date 2010/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.