Subadditivity theorem for Okounkov bodies

Abstract: We will investigate the subadditivity theorem of Okounkov bodies for algebraic fiber spaces. As an application, we obtain some numerical variants of the Iitaka conjecture. As a byproduct, we also obtain a criterion of birational isotriviality in terms of Okounkov bodies when the general fiber is of general type. We expect that our results will provide a new approach toward the Iitaka conjecture. This is a joint work with Jinhyung Park.

algebraic geometry

Audience: researchers in the topic

ZAG (Zoom Algebraic Geometry) seminar

Series comments: Description: ZAG seminar

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