Accessible Unlicensed Requires Authentication Published by De Gruyter March 31, 2009

Fubini's theorem in codimension two

J. M. Landsberg and Colleen Robles
From the journal


We classify codimension two complex submanifolds of projective space Xn having the property that any line through a general point xX 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