Deformations of functions and F-manifolds

2005/03/16 by Ignacio de Gregorio, de Gregorio, Ignacio
Mathematics · #14B07 (Primary) #53D45 (Secondary) #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:14B07 #msc:53D45

paper · pdf · doi:10.48550/arxiv.math/0503323

LaTeX2e, 9 pages

arxiv created 2005/03/16 · arxiv updated 2009/12/01

Abstract

We study functions on isolated singularities and prove some results of type Milnor number = Tjurina number. We use them to endow the base space of their miniversal deformation with the structure of F-manifold.

Related

• IPA-deformations of functions on affine space
• Deformation and Smoothing of Singularities
• Tjurina and Milnor numbers of matrix singularities
• Milnor numbers of deformations of semi-quasi-homogeneous plane curve singularities
• Milnor numbers in deformations of homogeneous singularities