On the classification of defective threefolds

Abstract

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 $k=1$.

AMSLaTeX, 30 pages

References in corpus (1)

• Algebraic Geometry of Bayesian Networks