5 problems

Let $\mathbb{H}$ denote the hexablock, let $G(\mathbb{H})$ be the group of explicitly given automorphisms generated by the maps described above, and let…

Let $M$ be a hyperbolic complex surface, and let $\Omega\subset\subset M$ be a subdomain with $C^{1,1}$ boundary. A compact quotient of $\Omega$ means that $\Omega$ admits a quotie…

Holomorphic equivalence conjecture. If there is a linear isometry between $A^p(D_1)$ and $A^p(D_2)$, then $D_1$ and $D_2$ are holomorphically equivalent.

Let $D earrowmathbb{C}^n$ $(ngeq 2)$ be a bounded pseudoconvex domain whose boundary is $C^2$-smooth. Assume that $D$ has an open quotient of finite volume in the sense of Kähler–E…

Let $D$ be a bounded convex domain with a finite-volume manifold quotient. Finite-volume quotient conjecture. The domain $D$ is biholomorphic to a bounded symmetric domain. This is…