Topology of a complex double plane branching along a real line arrangement
Algebraic Geometry
2025-05-06 v5
Abstract
We investigate the topology of a double cover of a 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.
Keywords
Cite
@article{arxiv.2401.15929,
title = {Topology of a complex double plane branching along a real line arrangement},
author = {Ichiro Shimada},
journal= {arXiv preprint arXiv:2401.15929},
year = {2025}
}
Comments
38 pages, 8 figures, a new reference is added