Varieties Connected by Chains of Lines
arXiv:1106.0124 · doi:10.1007/s10711-012-9817-y
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.
8 pages