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arXiv · 1106.0124

Varieties Connected by Chains of Lines

Simone Marchesi·Alex Massarenti
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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.

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Simone Marchesi, Alex Massarenti. 2011-06-01. Varieties Connected by Chains of Lines. https://doi.org/10.1007/s10711-012-9817-y

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