Conjecture on secant varieties of Segre products with completely decomposable forms
Segre–split secant conjecture. If m≥1m\geq 1m≥1, then σs(Seg(Pm×Splitd(Pn))\sigma_s(\operatorname{Seg}(\mathbb P^m\times\operatorname{Split}_d(\mathbb P^n))σs(Seg(Pm×Splitd(Pn)) is nondefective for all cases except those out…