Number of moduli for an union of smooth curves in (C²,0)

2021/06/25 by Yohann Genzmer, Genzmer, Yohann
Arts and Humanities · Mathematics · Social Sciences · #14H20 #32B10 #32M25 #32S65 #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Dynamical Systems (math.DS) #FOS: Mathematics #Historical Studies and Socio-cultural Analysis #Vietnamese History and Culture Studies

paper · pdf · doi:10.48550/arxiv.2106.13623

openalex publication_date 2021/06/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

Abstract. In this article, we provide an algorithm to compute the number of moduli of a germ of curve which is an union of germs of smooth curves in the complex plane.

Related

• Dimension of the moduli space of a curve in the complex plane
• The Saito vector field of a germ of complex plane curve
• On the number of moduli of plane sextics with six cusps
• The Saito module and the moduli of a germ of curve in (ℂ²,0)
• Moduli of algebraic and tropical curves