Fubini's Theorem in codimension two
代数几何
2007-05-23 v1 微分几何
摘要
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.
引用
@article{arxiv.math/0509227,
title = {Fubini's Theorem in codimension two},
author = {J. M. Landsberg and Colleen Robles},
journal= {arXiv preprint arXiv:math/0509227},
year = {2007}
}
备注
v.1, 11 pages