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Birational geometry of defective varieties

Edoardo Ballico·Claudio Fontanari
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Abstract

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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Edoardo Ballico, Claudio Fontanari. 2004-06-16. Birational geometry of defective varieties. https://arxiv.org/abs/math/0406320

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