Varieties Connected by Chains of Lines
classification
🧮 math.AG
keywords
criterionlineschainchainsconnecteddefiningdegreesensuring
read the original 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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