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arXiv · 0707.1429

Tangential projections and secant defective varieties

Roberto Munoz·Jose Carlos Sierra·Luis Eduardo Sola Conde
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Abstract

Going one step further in Zak's classification of Scorza varieties with secant defect equal to one, we characterize the Veronese embedding of $¶^n$ given by the complete linear system of quadrics and its smooth projections from a point as the only smooth irreducible complex and non-degenerate projective subvarieties of $¶^N$ that can be projected isomorphically into $¶^{2n}$ when $N\geq\binom{n+2}{2}-2$.

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Roberto Munoz, Jose Carlos Sierra, Luis Eduardo Sola Conde. 2007-07-10. Tangential projections and secant defective varieties. https://arxiv.org/abs/0707.1429

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