Elementary (-1)-curves of P^3
Algebraic Geometry
2007-05-23 v1
Abstract
In this note we deal with rational curves in P^3 which are images of a line by means of a finite sequence of cubo-cubic Cremona transformations. We prove that these curves can always be obtained applying to the line a sequence of such transformations increasing at each step the degree of the curve. As a corollary we get a result about curves that can give speciality for linear systems of P^3.
Cite
@article{arxiv.math/0605106,
title = {Elementary (-1)-curves of P^3},
author = {Antonio Laface and Luca Ugaglia},
journal= {arXiv preprint arXiv:math/0605106},
year = {2007}
}
Comments
12 pages, LaTeX