2 problems

Let $a_n=2^n$ and $b_n=3^n$. For each integer $e\geq 2$, define … and then define … Let $C_d:f_d=0$ be the resulting line arrangement. Maximality conjecture. The arrangement $C_d$…

Let $C:f=0$ be a reduced plane curve of degree $d$, let $r$ be the minimal degree of a nonzero Jacobian syzygy, and let $m$ be the number of minimal generators of its Jacobian syzy…