Effective characterization of quasi-abelian surfaces
arXiv:2206.05464 · doi:10.1017/fms.2023.2
Abstract
Let V be a smooth quasi-projective complex surface such that the three first logarithmic plurigenera are equal to 1 and the logarithmic irregularity is equal to 2. We prove that the quasi-Albanese morphism of V is birational and there exists a finite set S such that the quasi-Albanese map is proper over the complement of S in the quasi-Albanese variety A(V) of V. This is a sharp effective version of a classical result of Iitaka.
27 pages, minor corrections/modifications since v1