4 problems

Let $X$ be a quasi-projective manifold and let $\varphi\colon X\rightarrow Y$ be an elementary contraction associated with an extremal ray $R$. Let $E$ be an irreducible component…

Log-terminality conjecture. The divisor pair

Maximal-length equidimensionality conjecture. If $n\geq 2m-1$, then $\varphi$ is equidimensional. The paper presents this as a more general setting in which the Beltrametti–Sommese…

Let $(X,L)$ be a polarised projective manifold of dimension $n$, and let $\varphi\colon X\rightarrow Y$ be an adjunction-theoretic scroll over a normal variety $Y$ of dimension $m$…