Effective semi-ampleness of Hodge line bundles on curves

Abstract

AbstractIn this note, we prove effective semi-ampleness conjecture due to Prokhorov and Shokurov for a special case, more concretely, for $${\mathbb {Q}}$$ Q -Gorenstein klt-trivial fibrations over smooth projective curves whose fibers are all klt log Calabi-Yau pairs of Fano type.