Freeness versus maximal degree of the singular subscheme for surfaces in $P^3$
Algebraic Geometry
2017-08-30 v2
Abstract
We show that a free surface in is characterized by the maximality of the degree of its singular subscheme, in the presence of an additional tameness condition. This is similar to the characterization of free plane curves by the maximality of their global Tjurina number given by A. A. du Plessis and C.T.C. Wall. Simple characterizations of the nearly free tame surfaces are also given.
Cite
@article{arxiv.1509.02106,
title = {Freeness versus maximal degree of the singular subscheme for surfaces in $P^3$},
author = {Alexandru Dimca},
journal= {arXiv preprint arXiv:1509.02106},
year = {2017}
}
Comments
v.2: Corollary 5.3 modified and one reference added