4 problems

Let $S$ be a Noetherian scheme and let $G$ be an isotrivial reductive group over $S$, meaning that $G$ becomes split after a finite étale cover of $S$. A $G$-equivariant $S$-fiberw…

Let $U$) be an $n$-dimensional contractible complex manifold and let $(M,D)$ be a Kähler smooth compactification. Fujita's conjecture $A_n$. Then … and $(M,D)$ is the standard exam…

An $ALG$ or $ALG^*$ gravitational instanton may, after a suitable hyperKähler rotation, admit a compactification obtained by adding a canonical cycle to a rational surface. Compact…

Let $G$ be a real reductive Lie group with compact center, and let an hd-compactification of $G$ be a compact manifold with corners $\overline{G}$ containing $G$ as its interior an…