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arXiv · 1611.01674

On non-secant defectivity of Segre-Veronese varieties

Carolina Araujo·Alex Massarenti·Rick Rischter
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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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Carolina Araujo, Alex Massarenti, Rick Rischter. 2016-11-05. On non-secant defectivity of Segre-Veronese varieties. https://arxiv.org/abs/1611.01674

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