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Non-defectivity of Segre-Veronese varieties
Preprint

Non-defectivity of Segre-Veronese varieties

Hirotachi Abo, Maria Chiara Brambilla, Francesco Galuppi and Alessandro Oneto
06/28/2024
DOI: https://doi.org/10.48550/arxiv.2406.20057

Abstract

Mathematics - Algebraic Geometry
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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