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 ⊂ PN, involving the degrees and the number of homogeneous polynomials defining X. We show that our criterion is sharp. © 2012 Springer Science+Business Media Dordrecht.
Varieties connected by chains of lines
Massarenti, Alex
Membro del Collaboration Group
2014
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 ⊂ PN, involving the degrees and the number of homogeneous polynomials defining X. We show that our criterion is sharp. © 2012 Springer Science+Business Media Dordrecht.File in questo prodotto:
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