The Saito vector field of a germ of complex plane curve

2024/03/11 by Yohann Genzmer, Genzmer, Yohann
Computer Science · Engineering · Mathematics · Social Sciences · #Aerospace Engineering and Control Systems #Algebraic Geometry and Number Theory #Analytic Number Theory Research #Dynamical Systems (math.DS) #FOS: Mathematics #Robotic Path Planning Algorithms #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2403.06587

openalex publication_date 2024/03/11 · openalex created_date 2025/01/07 · openalex updated_date 2026/08/01

Abstract

In this article, we prove that an algorithm introduced by the author in a previous work and giving the generic dimension of the moduli space of a germ of curve in the complex plane that is the union of smooth curves, can be used identically to find this dimension for any kind of germ of plane curve.

Related

• The Saito module and the moduli of a germ of curve in (ℂ²,0)
• Dimension of the moduli space of a curve in the complex plane
• On the Saito basis for plane curves
• Number of moduli for an union of smooth curves in (C²,0)
• On the Saito number of plane curves