4 problems

Let $(K,\partial)$ be a differential field of characteristic zero. Let $A$ be a differentially finitely generated differential $K$-domain, let $f\in A$ be a non-unit, and let $P$ b…

Let $(K,\partial)$ be a differential field of characteristic zero. Let $u_1,\ldots,u_i\in K\lbrace x_1,\ldots,x_n\rbrace$, and suppose that the differential ideal…

Dimension Conjecture. If $m<n$, then every irreducible component $\Sigma_1$ of $\Sigma$ satisfies

Let $(K,\Delta=\{\delta_1,\dots,\delta_m\})$ be a differential field of characteristic zero, let $\Sigma\subset K\{x_1,\dots,x_n\}$ be a differential system of order $r$, and let…