Birational geometry of defective varieties

Details Birational geometry of defective varieties Birational geometry of defective varieties

2004-06-16

arxiv.org/abs/math/0406320v1

Mathematics

Algebraic Geometry

Scientific paper

Here we investigate the birational geometry of projective varieties of
arbitrary dimension having defective higher secant varieties. We apply the
classical tool of tangential projections and we determine natural conditions
for uniruledness, rational connectivity, and rationality.

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