Boundedness of log Calabi-Yau pairs of Fano type

Abstract

We prove a boundedness result for klt pairs $(X,B)$ such that $K_X+B\equiv 0$ and $B$ is big. As a consequence we obtain a positive answer to the Effective Iitaka Fibration Conjecture for klt pairs with big boundary.

References in corpus (2)

• Toward the second main theorem on complements: from local to global
• Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs

Cited by in corpus (1)

• Effectivity of Iitaka fibrations and pluricanonical systems of polarized pairs