7 problems

Extension conjecture for dlt pairs. The restriction map

Let $(X,B)$ be a projective $\mathbb{Q}$-factorial effective dlt pair. The divisor $\lfloor B\rfloor$ is the integral part of the boundary, and its image under the relevant biratio…

Let $m,d$ be two positive integers. For a projective, possibly disconnected dlt pair $(X,\Delta)$ of dimension $d$ with $m(K_X+\Delta)\sim 0$, let…

Let $m,d$ be two positive integers. For a projective, possibly disconnected dlt pair $(X,\Delta)$ of dimension $d$ with $m(K_X+\Delta)\sim 0$, let…

Let $n$ and $d$ be natural numbers, and let $(X,B)$ be a $d$-dimensional projective dlt pair such that … Let $\operatorname{Bir}(X,B)$ be the group of $B$-birational automorphisms…

Let $(X,S+B)$ be an $n$-dimensional projective dlt pair such that $B$ is an effective $\mathbb Q$-divisor, and write $\lfloor S+B\rfloor=S$. Assume that $K_X+S+B$ is nef and … wher…

Let $(X,\Delta)$ be an $n$-dimensional projective divisorial log terminal pair such that $\Delta$ is a $\mathbb Q$-divisor, and write $\lfloor\Delta\rfloor=S$. Assume that…