The Tjurina number of a plane curve with two branches and high intersection multiplicity

2025/01/22 by Patricio Almirón, Almirón, Patricio, Marcelo Escudeiro Hernandes +1 · 2 citations
Engineering · Mathematics · #Advanced Numerical Analysis Techniques #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Commutative Algebra (math.AC) #Commutative Algebra and Its Applications #FOS: Mathematics

paper · pdf · doi:10.48550/arxiv.2501.12836

openalex publication_date 2025/01/22 · openalex created_date 2025/01/24 · openalex updated_date 2026/08/01

Abstract

In this paper we provide a family of reduced plane curves with two branches that have a constant Tjurina number in their equisingularity class, along with a closed formula for it in terms of topological data.

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