Log-Plurigenera in Stable Families of Surfaces

We study the flatness of log-pluricanonical sheaves on stable families of surfaces.

Moduli of Polarized Calabi–Yau Pairs

We prove that the irreducible components of the moduli space of polarized Calabi–Yau pairs are projective.

Log-Plurigenera in Stable Families

We study the flatness of log-pluricanonical sheaves on stable families of varieties.