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arXiv · 2206.05464

Effective characterization of quasi-abelian surfaces

Margarida Mendes Lopes·Rita Pardini·Sofia Tirabassi
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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.

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Margarida Mendes Lopes, Rita Pardini, Sofia Tirabassi. 2022-06-11. Effective characterization of quasi-abelian surfaces. https://doi.org/10.1017/fms.2023.2

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