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Secant varieties to high degree Veronese reembeddings, catalecticant matrices and smoothable Gorenstein schemes
secant variety catalecticant minors Veronese variety Veronese reembeddings
2011/2/21
We study the secant varieties of the Veronese varieties and of Veronese reembeddings of a smooth projective variety.
We describe the defining ideal of the rth secant variety of P2 × Pn embedded by O(1, 2), for arbitrary n and r ≤ 5. We also present the Schur module decomposition of the space of generators of each su...