Hadamard non-defectivity conjecture for secant varieties of Segre-Veronese varieties
Hadamard non-defectivity conjecture for secant varieties of Segre-Veronese varieties
Let be a Segre-Veronese variety, let denote its secant variety, and let a Hadamard product mean the coordinatewise product of such varieties. Hadamard non-defectivity conjecture. For any and any , Hadamard products of secant varieties of Segre-Veronese varieties are not Hadamard-defective. This conjecture is motivated by computational verification in several defective families, but the general assertion remains open and would provide a direct non-defectivity statement beyond the cases currently accessible by the dimension bounds.
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Primary source
Dario Antolini, Guido Montúfar and Alessandro Oneto, “Hadamard ranks of algebraic varieties”, arXiv:2510.05231 (2025).
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