Effective characterization of quasi-abelian surfaces
| Autor: | Margarida Mendes Lopes, Rita Pardini, Sofia Tirabassi |
|---|---|
| Rok vydání: | 2023 |
| Předmět: |
Statistics and Probability
Matematik logarithmic invariants Algebra and Number Theory Mathematics::Complex Variables Theoretical Computer Science Mathematics - Algebraic Geometry Computational Mathematics Mathematics::Algebraic Geometry quasi-abelian varieties Primary 14E05 Secondary 14J10 14K99 14L20 14L40 14R05 FOS: Mathematics open surface Discrete Mathematics and Combinatorics Geometry and Topology Algebraic Geometry (math.AG) Mathematics Mathematical Physics Analysis |
| Zdroj: | Forum of Mathematics, Sigma. 11 |
| ISSN: | 2050-5094 |
| DOI: | 10.1017/fms.2023.2 |
| Popis: | 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 |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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