2 problems

Let $(\mathbb{P}^2,dH)$ denote the projective plane polarized by $dH$, where $d$ is an odd integer and $d\geq 3$. Rank 3 Ulrich-bundle conjecture. There exists a rank $3$ Ulrich bu…

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