Geramita's aCM conjecture for secant varieties of Veronese varieties

Let $s,d,n$ be positive integers, let $\nu_d\mathbb{P}^n$ be the degree-$d$ Veronese re-embedding of projective space, and write $\sigma_s(\nu_d\mathbb{P}^n)$ for its $s$-secant variety. Geramita's conjecture. The variety $\sigma_s(\nu_d\mathbb{P}^n)$ is arithmetically Cohen–Macaulay for all $s,d,n$. This is the symmetric analogue of the aCM conjecture for secant varieties of Segre products; the general assertion remains open.