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arXiv · 2406.20057

Non-defectivity of Segre-Veronese varieties

Hirotachi Abo·Maria Chiara Brambilla·Francesco Galuppi·Alessandro Oneto
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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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Hirotachi Abo, Maria Chiara Brambilla, Francesco Galuppi, Alessandro Oneto. 2024-06-28. Non-defectivity of Segre-Veronese varieties. https://doi.org/10.1090/bproc%2F248

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