3 problems

Let $A$ be a finitely generated algebra over a formally real field $k$ satisfying $P\bigl(k(t)\bigr)<\infty$, and let $W$ denote the Zariski closure of the formally real points in…

Becher–Grimm–Van Geel's conjecture. The inequality

Let $k$ be a field and let $F_n=k(\!(t_1,\dotsc,t_n)\!)$ be the Laurent series field in $n$ variables over $k$, with $n\geq 2$. For a finite field extension $\ell/k$, write…