Projective varieties with many degenerate subvarieties

Mathematics – Algebraic Geometry

Scientific paper

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19 pages, AMS-TeX 2.1

Scientific paper

We study the problem of classifying the irreducible projective varieties $X$ of dimension $n\ge 2$ in $\Bbb P^N$ which contain an algebraic family $\Cal F$ of dimension $h+1$ ($h

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