6 problems

A sublc-trivial fibration is a fibration whose canonical bundle formula has sublc-trivial generic fiber, with an associated moduli divisor. An Ambro model is a birational model on…

Let $f\colon (X, B)\to Y$ be a basic $\mathbb R$-slc-trivial fibration such that $Y$ is a smooth quasi-projective variety, and write $K_X+B\sim_{\mathbb R} f^*D$. Assume that there…

Effective adjunction conjecture. The moduli b-divisor $\mathbf{M}$ is b-semi-ample.

Let $W_0\subset W$ be the base locus of the relevant smooth family, let $p^c\colon W_0\to D^c/\Gamma$ be the period map of the canonical moduli part, and set … Let $\mathcal M^c_W$…

Let $f\colon (X, B_X) \to (Y,D)$ be a very basic slc-trivial fibration with structure decomposition … Here $B_Y$ is the discriminant part and $M_Y$ is the moduli part. The lc-conje…

Let $(X,\Delta)$ be a log klt pair and let $f\colon X\to Y$ be a surjective morphism such that the Kodaira dimension of $K_X+\Delta$ restricted to the general fibre is zero. Assume…