Simone Marchesi, Alex Massarenti
Published 2011-06-01Version 1
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.
Covered by Lines and Conic Connected Varieties
Base locus of linear systems on the blowing-up of P^3 along at most 8 general points
Cones of divisors on $\mathbb{P}^3$ blown up at eight very general points
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