Non-vanishing of the structure-sheaf cohomology of affine henselian schemes and henselian affinoids

Yoshinori Gongyo, Fumiharu Kato, Takayuki Uchiba

Let $(A,I)$ be a henselian pair such that $A$ is a domain of characteristic zero and $I\ne 0$. We prove that any flat affine henselian scheme of finite presentation over $(A,I)$ has…