Equianalytic and equisingular families of curves on surfaces

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We consider flat families of reduced curves on a smooth surface S such that each member C has the same number of singularities of fixed singularity types and the corresponding (locally closed) subscheme H of the Hilbert scheme of S. We are mainly concerned with analytic resp. topological singularity types and give a sufficient condition for the smoothness of H (at C). Our results for S=P^2 seem to be quite sharp for families of cuves of small degree d.
LaTeX v 2.09

Keywords

Algebraic Geometry

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/149994

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/alg-geom/9503011
 http://arxiv.org/abs/alg-geom/9503011

Collections

arXiv