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On non-secant defectivity of Segre-Veronese varieties (1611.01674v1)
Published 5 Nov 2016 in math.AG and math.DG
Abstract: Let $SV{\pmb n}{\pmb d}$ be the Segre-Veronese given as the image of the embedding induced by the line bundle $\mathcal{O}{\mathbb{P}{n_1}\times\dots\times\mathbb{P}{n_r}}(d_1,\dots, d_r)$. We prove that asymptotically $SV{\pmb n}_{\pmb d}$ is not $h$-defective for $h\leq n_1{\lfloor \log_2(d-1)\rfloor}$.
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