Limits of translates of plane curves -- on a paper of Aldo Ghizzetti

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

We study the limits of PGL(3) translates of an arbitrary plane curve, giving a description of all possible limits of a given curve and computing the multiplicities of corresponding components in the normal cone to the base scheme of a related linear system. This information is a key step in the computation of the degree of the closure of the linear orbit of an arbitrary plane curve. Our analysis recovers and extends results obtained by Aldo Ghizzetti in the 1930's.
Minor changes. 68 pages, 16 figures

Keywords

Algebraic Geometry, 14E05;14H50;14L35;14N10

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/67867

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0306348
 http://arxiv.org/abs/math/0306348

Collections

arXiv