All Questions

Let $k$ be an imperfect field of char $p>0$ and $x \in \mathbb{P}^n_k$ be closed point of projective space. In this discussion Qing Liu wrote that Over an imperfect field, a reduced point can not ...

Let $X$ be a $k$-scheme over imperfect field $k$ and $x \in X $ some (reduced) point with residue field $\kappa(x) = \mathcal{O}_{X,x}/ \mathfrak{m}_x$. How to check that if $\kappa(x)$ has "big ...

Let $f:X\to Y$ be a surjective morphism between two projective schemes over a field of characteristic $p>0$. Also assume that $X$ is smooth,$Y$ smooth & irreducible and $f_*\mathcal{O}_X=\...