2 problems

Let $X$ be an irreducible quasiaffine variety of dimension at least $2$. Let conditions (1)–(4) refer to the four conditions in Theorem, whose equivalence is being conjectured. Tra…

Let $X$ be an irreducible quasiaffine variety over an algebraically closed field ${\mathbb K}$ of characteristic zero. Write $\operatorname{Aut}(X)$ for its automorphism group and…