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

Revue:
Journal of Pure and Applied Algebra

ISSN: 0022-4049

Année de publication: 2024

Volumen: 228

Número: 9

Pages: 107684

Type: Article

DOI: 10.1016/J.JPAA.2024.107684 GOOGLE SCHOLAR lock_openAccès ouvert editor

D'autres publications dans: Journal of Pure and Applied Algebra

Résumé

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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