On the ring of differential operators of certain regular domains
On the ring of differential operators of certain regular domains
Let $(A,\mathfrak {m})$ be a complete equicharacteristic Noetherian domain of dimension $d + 1 \geq 2$. Assume $k = A/\mathfrak {m}$ has characteristic zero and that $A$ is not a regular local ring. Let $\text {Sing}(A)$, the singular locus of $A$, be defined by an ideal $J$ in $A$. Note …