We classify all irreducible projective threefolds $X$ which are
$k$-defective, i.e. some $k$-secant variety of $X$ has dimension less than the
expected value. This results extends the classical Scorza's classification of
the case $k=1$.Comment: AMSLaTeX, 30 page

Chiantini, L.

Ciliberto, C.

English

arXiv

We  give the full classification of irreducible projective threefolds whose k-secant variety has dimension smaller than the expected, for some k>1. As pointed out in the introduction, the case k=1 was already known before

On the classification of defective threefolds

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