2 problems

Let $K=K\{{\mathbf{f}}\}$ be a Poisson field, let ${^1\Gamma}_0(K)$ be the $1$-valuation gamma-cap, and let $\operatorname{fht}(K)$ denote the flag height. Gamma-cap conjecture. If…

Let ${\mathbf{f}}$ be a nonzero element of $\Bbbk(x,y)$, and let $K\{{\mathbf{f}}\}$ denote the associated Poisson field. Polynomial flag problem. Is there a polynomial…