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

Fuente: arXiv
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Hauptverfasser: Almirón, Patricio, Hernandes, Marcelo E.
Format: Preprint
Veröffentlicht: 2025
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author Almirón, Patricio
Hernandes, Marcelo E.
author_facet Almirón, Patricio
Hernandes, Marcelo E.
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2501_12836
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The Tjurina number of a plane curve with two branches and high intersection multiplicity
Almirón, Patricio
Hernandes, Marcelo E.
Algebraic Geometry
Commutative Algebra
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.
title The Tjurina number of a plane curve with two branches and high intersection multiplicity
topic Algebraic Geometry
Commutative Algebra
url https://arxiv.org/abs/2501.12836