2 problems

Assume $u\leq d/2$. Let $(\Delta,p)$ be a $(d-1)$-sphere in $S(d-u,d-1)$, with $p$ a generic or natural embedding in $\mathbb{R}^d$. Let $\mathcal{S}^a_i(\Delta,p)$ denote the spac…

Gorenstein quotient conjecture. The ring $\overline{\mathbf{k}[\Delta]}$ should be Gorenstein. This is presented as a closely related, potentially weaker conjecture to the precedin…