Cuspidal dicritical foliations and analytical invariants of cusps

Fuente: arXiv
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Autori principali: Corral, Nuria, Gómez-Martínez, Oziel, Senovilla-Sanz, David
Natura: Preprint
Pubblicazione: 2026
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author Corral, Nuria
Gómez-Martínez, Oziel
Senovilla-Sanz, David
author_facet Corral, Nuria
Gómez-Martínez, Oziel
Senovilla-Sanz, David
contents In this paper we study dicritical foliations having a family of cusps as invariant curves. We give conditions to assure that all the curves of the family have the same semimodule of differential values. We also give an expression to compute the conductor of a cuspidal semimodule.
format Preprint
id arxiv_https___arxiv_org_abs_2605_30634
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Cuspidal dicritical foliations and analytical invariants of cusps
Corral, Nuria
Gómez-Martínez, Oziel
Senovilla-Sanz, David
Algebraic Geometry
14H20, 14H15, 32S65, 32S15, 32S05
In this paper we study dicritical foliations having a family of cusps as invariant curves. We give conditions to assure that all the curves of the family have the same semimodule of differential values. We also give an expression to compute the conductor of a cuspidal semimodule.
title Cuspidal dicritical foliations and analytical invariants of cusps
topic Algebraic Geometry
14H20, 14H15, 32S65, 32S15, 32S05
url https://arxiv.org/abs/2605.30634