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

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

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 characteri...

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Veröffentlicht in:Journal of pure and applied algebra 2024-09, Vol.228 (9), p.107684, Article 107684
Hauptverfasser: García Barroso, Evelia R., Gwoździewicz, Janusz
Format: Artikel
Sprache:eng
Schlagworte:
Deformation
Milnor number
Plane branch
δ-invariant
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Zusammenfassung: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.
ISSN:0022-4049
1873-1376
DOI:10.1016/j.jpaa.2024.107684