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 the 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.
On projective varieties of dimension n+k covered by k-spaces / Mezzetti, Emilia; Tommasi, O.. - In: ILLINOIS JOURNAL OF MATHEMATICS. - ISSN 0019-2082. - STAMPA. - 46 (2):(2002), pp. 443-465.
On projective varieties of dimension n+k covered by k-spaces
MEZZETTI, EMILIA;
2002-01-01
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 the 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.File in questo prodotto:
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