Fubini's Theorem in codimension two

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We classify codimension two analytic submanifolds X of projective space having the property that any line through a general point p having contact to order two with X at p automatically has contact to order three. We give applications to the study of the Debarre--de Jong conjecture, and of n-dimensional varieties whose Fano variety of lines has dimension 2n-4.
v.1, 11 pages

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Algebraic Geometry, Differential Geometry, 14N15; 51N15; 53A20

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http://salesiana.dossiersoluciones.com/handle/123456789/76308

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0509227
 http://arxiv.org/abs/math/0509227

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arXiv