Nearly free divisors and rational cuspidal curves

2015/05/04 by Alexandru Dimca, Gabriel Sticlaru, Dimca, Alexandru +1 · 1 citation
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Commutative Algebra (math.AC) #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.1505.00666

openalex publication_date 2015/05/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We define a class of plane curves which are close to the free divisors and such that conjecturally it contains the class of rational cuspidal curves. Using a recent result by U. Walther we show that any unicuspidal rational curve with a unique Puiseux pair is either free or belongs to this class.

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