Abelian branched covers of rational surfaces. II (Q6583350)
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scientific article; zbMATH DE number 7892528
| Language | Label | Description | Also known as |
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| English | Abelian branched covers of rational surfaces. II |
scientific article; zbMATH DE number 7892528 |
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Abelian branched covers of rational surfaces. II (English)
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6 August 2024
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Based on the previous joint work with A. Joshi and M. Poddar [\textit{R. Harris} et al., Adv. Geom. 23, 401--411 (2023; Zbl 1520.14025)], the authors study abelian covers of rational surfaces which are branched along line arrangements. Using these abelian covers as building blocks, the authors construct new infinite families of closed simply connected nonspin irreducible symplectic \(4\)-manifolds with positive signature.
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branched covering
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geography problem
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dual Hesse line arrangement
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symplectic 4-manifolds
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