ORIGINAL ARTICLE

Topology of a complex double-plane branching along a real line arrangement

Corresponding Author

Ichiro Shimada

[email protected]

orcid.org/0000-0002-9781-6342

Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University, Higashi-Hiroshima, Japan

Correspondence

Ichiro Shimada, Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan.

Email: [email protected]

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Ichiro Shimada,

Corresponding Author

Ichiro Shimada

[email protected]

orcid.org/0000-0002-9781-6342

Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University, Higashi-Hiroshima, Japan

Correspondence

Ichiro Shimada, Mathematics Program, Graduate School of Advanced Science and Engineering, Hiroshima University, 1-3-1 Kagamiyama, Higashi-Hiroshima 739-8526, Japan.

Email: [email protected]

Search for more papers by this author

First published: 10 June 2025

https://doi.org/10.1002/mana.12023

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Abstract

We investigate the topology of the double cover of the complex affine plane branching along a nodal real line arrangement. We define certain topological 2-cycles in the double plane using the real structure of the arrangement, and calculate their intersection numbers.

CONFLICT OF INTEREST STATEMENT

The author declares no conflicts of interest.

Open Research

DATA AVAILABILITY STATEMENT

The data supporting the findings of this study are available from the author upon reasonable request.

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Volume298, Issue7

July 2025

Pages 2204-2241

Topology of a complex double-plane branching along a real line arrangement

Abstract

CONFLICT OF INTEREST STATEMENT

Open Research

DATA AVAILABILITY STATEMENT

REFERENCES

References

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Topology of a complex double-plane branching along a real line arrangement

Abstract

CONFLICT OF INTEREST STATEMENT

Open Research

DATA AVAILABILITY STATEMENT

REFERENCES

References

Related

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