Mathematics – Algebraic Geometry
Scientific paper
2007-07-10
Mathematics
Algebraic Geometry
To appear in Bulletin of the London Mathematical Society
Scientific paper
Going one step further in Zak's classification of Scorza varieties with secant defect equal to one, we characterize the Veronese embedding of $\P^n$ 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 $\P^N$ that can be projected isomorphically into $\P^{2n}$ when $N\geq\binom{n+2}{2}-2$.
Muñoz Roberto
Sierra José Carlos
Sola Conde Luis Eduardo
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