An explicit deformation of a plane branch with constant δ-invariant

  1. García Barroso, Evelia R. 1
  2. Gwoździewicz, Janusz
  1. 1 Universidad de La Laguna
    info

    Universidad de La Laguna

    San Cristobal de La Laguna, España

    ROR https://ror.org/01r9z8p25

Revista:
Journal of Pure and Applied Algebra

ISSN: 0022-4049

Ano de publicación: 2024

Volume: 228

Número: 9

Páxinas: 107684

Tipo: Artigo

DOI: 10.1016/J.JPAA.2024.107684 GOOGLE SCHOLAR lock_openAcceso aberto editor

Outras publicacións en: Journal of Pure and Applied Algebra

Resumo

We construct an explicit deformation of a plane branch with constant δ-invariant, where δ denotes the double point number of the singularity. The generic fibers of the deformation are the union of two irreducible curves. Our construction works over algebraically closed fields of arbitrary characteristic.

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