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Fubini's theorem in codimension two

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Published/Copyright: March 31, 2009
Journal für die reine und angewandte Mathematik
From the journal Volume 2009 Issue 631

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

Articles in the same Issue

  1. L-functions of symmetric powers of cubic exponential sums
  2. Localization in quiver moduli
  3. Kolyvagin systems of Stark units
  4. Overconvergence and classicality: the case of curves
  5. Partial sums of the Möbius function
  6. Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
  7. Degeneration of the strange duality map for symplectic bundles
  8. Fubini's theorem in codimension two
https://doi.org/10.1515/CRELLE.2009.047

Articles in the same Issue

  1. L-functions of symmetric powers of cubic exponential sums
  2. Localization in quiver moduli
  3. Kolyvagin systems of Stark units
  4. Overconvergence and classicality: the case of curves
  5. Partial sums of the Möbius function
  6. Gram determinants and semisimplicity criteria for Birman-Wenzl algebras
  7. Degeneration of the strange duality map for symplectic bundles
  8. Fubini's theorem in codimension two
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