Abelian branched covers of rational surfaces
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Robert Harris
und
Mainak Poddar
Abstract
We study abelian covers of rational surfaces branched over line arrangements. We use these covers to address the geography problem for closed simply connected nonspin irreducible symplectic 4-manifolds with positive signature.
Funding statement: The third author was partially supported by a Discovery Grant from the NSERC of Canada. The research of the fourth author was supported in part by a SERB MATRICS Grant: MTR/2019/001613.
Acknowledgements
The authors thank Krishna Hanumanthu for helpful email correspondence.
Communicated by: P. Eberlein
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© 2023 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- Topology of tropical moduli spaces of weighted stable curves in higher genus
- Explicit p-harmonic functions on the real Grassmannians
- Cohomogeneity one central Kähler metrics in dimension four
- Tropical Poincaré duality spaces
- Isometries of wall-connected twin buildings
- On automorphisms of semistable G-bundles with decorations
- Abelian branched covers of rational surfaces
- Polyhedral compactifications, I
Artikel in diesem Heft
- Frontmatter
- Topology of tropical moduli spaces of weighted stable curves in higher genus
- Explicit p-harmonic functions on the real Grassmannians
- Cohomogeneity one central Kähler metrics in dimension four
- Tropical Poincaré duality spaces
- Isometries of wall-connected twin buildings
- On automorphisms of semistable G-bundles with decorations
- Abelian branched covers of rational surfaces
- Polyhedral compactifications, I
