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arXiv · 2605.30634

Cuspidal dicritical foliations and analytical invariants of cusps

Nuria Corral·Oziel Gómez-Martínez·David Senovilla-Sanz
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Abstract

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.

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Nuria Corral, Oziel Gómez-Martínez, David Senovilla-Sanz. 2026-05-28. Cuspidal dicritical foliations and analytical invariants of cusps. https://arxiv.org/abs/2605.30634

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