November 20, 2024Open Access

Non-Defectivity of Segre–Veronese varieties

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Abstract

We prove that Segre–Veronese varieties are never secant defective if each degree is at least three. The proof is by induction on the number of factors, degree, and dimension. As a corollary, we give an almost optimal non-defectivity result for Segre–Veronese varieties with one degree equal to one and all the others at least three.

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Abo et al. (Wed,) studied this question.

synapsesocial.com/papers/6a11e4f8157ff1551221baa0 https://doi.org/https://doi.org/10.1090/bproc/248

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