On the regularity of varieties having an extremal secant line

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

The Castelnuovo-Mumford regularity of varieties of degree r and dimension n in the r-dimensional projective space that have an extremal secant line, is at least d-r+n+1. We classify these varieties and show that their regularity is exactly d-r+n+1, as predicted by the regularity conjecture.
12 pages, part of it contains results from my Ph.D. thesis (Columbia University NY)

Keywords

Algebraic Geometry, 14N05;14F05

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/97534

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0007074
 http://arxiv.org/abs/math/0007074

Collections

arXiv