Fubini's Theorem in codimension two

Details Fubini's Theorem in codimension two Fubini's Theorem in codimension two

2005-09-09

arxiv.org/abs/math/0509227v1

Mathematics

Algebraic Geometry

v.1, 11 pages

Scientific paper

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.

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