On the classification of defective threefolds
classification
🧮 math.AG
keywords
classificationdefectivethreefoldscaseclassicalclassifydimensionexpected
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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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