Varieties Connected by Chains of Lines
Algebraic Geometry
2013-05-28 v1
Abstract
In this paper we give for any integer l > 2 a numerical criterion ensuring the existence of a chain of length l of lines through two general points of an irreducible variety X in P^N, involving the degrees and the number of homogeneous polynomials defining X. We show that our criterion is sharp.
Cite
@article{arxiv.1106.0124,
title = {Varieties Connected by Chains of Lines},
author = {Simone Marchesi and Alex Massarenti},
journal= {arXiv preprint arXiv:1106.0124},
year = {2013}
}
Comments
8 pages