On projective varieties of dimension n+k covered by k-spaces

Details On projective varieties of dimension n+k covered by k-spaces On projective varieties of dimension n+k covered by k-spaces

2001-11-30

arxiv.org/abs/math/0111319v1

Mathematics

Algebraic Geometry

To be published in Illinois Journal of Mathematics

Scientific paper

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.

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