2 problems

Veronese-surface Betti-table conjecture. If $d\geq2$, then the last non-zero entry on the linear strand is

Let $\Delta$ be a lattice polygon, let $\Sigma=\operatorname{conv}\{(0,0),(1,0),(0,1)\}$ and $\Upsilon=\operatorname{conv}\{(-1,-1),(1,0),(0,1)\}$, and write…