Number of moduli for an union of smooth curves in (C^2,0)
Yohann Genzmer
TL;DR
This paper presents an algorithm to compute the number of moduli for a germ of a curve formed by the union of smooth curve germs in the complex plane, aiding in understanding their deformation space.
Contribution
It introduces a novel algorithm specifically designed to calculate the number of moduli for unions of smooth curve germs in complex two-dimensional space.
Findings
Algorithm successfully computes the number of moduli for given curve unions.
Provides a systematic method for analyzing deformation spaces of complex plane curve unions.
Enhances understanding of moduli spaces in complex algebraic geometry.
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.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Historical Studies and Socio-cultural Analysis · Vietnamese History and Culture Studies