Deformation of singularities via $L_{\infty }$-algebras

Abstract

This is an addendum to the paper ``Deformation of $L_{\infty }$-Algebras'' of the same author. We explain in which way the deformation theory of $L_{\infty }$-algebras extends the deformation theory of singularities. We show that the construction of semi-universal deformations of $L_{\infty }$-algebras gives explicit formal semi-universal deformations of isolated singularities.

7 pages