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Abelian branched covers of rational surfaces, II

  • Robert Harris and B. Doug Park EMAIL logo
Published/Copyright: August 5, 2024
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Abstract

Building upon our previous joint work with A. Joshi and M. Poddar, we continue our study of abelian covers of rational surfaces which are branched over line arrangements. We use these covers as building blocks to construct new infinite families of closed simply connected nonspin irreducible symplectic 4-manifolds with positive signature.

MSC 2010: 14E20; 14N20; 53D35; 57R55

Acknowledgements

The first author thanks David McKinnon for a helpful discussion. The second author was partially supported by a Research Incentive Fund from the University of Waterloo.

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Published Online: 2024-08-05
Published in Print: 2024-07-26

© 2024 Walter de Gruyter GmbH, Berlin/Boston, Germany

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