On the classification of defective threefolds

Details On the classification of defective threefolds On the classification of defective threefolds

2003-12-31

arxiv.org/abs/math/0312518v3

Mathematics

Algebraic Geometry

AMSLaTeX, 30 pages

Scientific paper

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 $k=1$.

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