On projective varieties of dimension n+k covered by k-spaces
Algebraic Geometry
2007-05-23 v1
Abstract
We study families of linear spaces in projective space whose union is a proper subvariety X of the expected dimension. We establish relations between configurations of focal points and existence or non-existence of a fixed tangent space to X along a general element of the family. We apply our results to the classification of ruled 3-dimensional varieties.
Cite
@article{arxiv.math/0111319,
title = {On projective varieties of dimension n+k covered by k-spaces},
author = {Emilia Mezzetti and Orsola Tommasi},
journal= {arXiv preprint arXiv:math/0111319},
year = {2007}
}
Comments
To be published in Illinois Journal of Mathematics