Motivic zeta function via dlt modification

Given a smooth variety $X$ and a regular function $f$ on it, by considering the dlt modification, we define the dlt motivic zeta function $Z^{\rm dlt}_{\rm mot}(s)$ which does not depend on the choice of the dlt modification.Comment: 11 page

Ampleness of the CM line bundle on the moduli space of canonically polarized varieties

We prove that the CM line bundle is ample on the proper moduli space which parametrizes KSBA stable varieties