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Fubini's theorem in codimension two
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J. M. Landsberg
Published/Copyright:
March 31, 2009
Abstract
We classify codimension two complex submanifolds of projective space Xn ⊂ 
having the property that any line through a general point x ∈ X having contact to order two with X at x automatically has contact to order three. We give applications to the study of the Debarre-de Jong conjecture and of varieties whose Fano variety of lines has dimension 2n – 4.
Received: 2005-10-04
Revised: 2008-03-30
Published Online: 2009-03-31
Published in Print: 2009-June
© Walter de Gruyter Berlin · New York 2009
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Articles in the same Issue
- L-functions of symmetric powers of cubic exponential sums
- Localization in quiver moduli
- Kolyvagin systems of Stark units
- Overconvergence and classicality: the case of curves
- Partial sums of the Möbius function
- Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
- Degeneration of the strange duality map for symplectic bundles
- Fubini's theorem in codimension two
