On nodal deformations of singular surfaces in ${\mathbb{P}}^3$

Abstract

In this paper we study nodal deformations of singular surfaces $S\subset {\mathbb{P}}^3$. In particular we consider the case in which $S$ has an isolated singularity of multiplicity $m$ and the case in which $S$ has only ordinary singularities along a line.

18 pages, 1 figure. Minor changes and corrections thanks to a referee's comments