Topology and combinatorics of real line arrangements
Algebraic Geometry
2018-05-04 v2
Abstract
We prove the existence of complexified real arrangements with the same combinatorics but different embeddings in the complex projective plane. Such pair of arrangements has an additional property: they admit conjugated equations on the ring of polynomials over the number field .
Keywords
Cite
@article{arxiv.math/0307296,
title = {Topology and combinatorics of real line arrangements},
author = {E. Artal and J. Carmona and J. I. Cogolludo and M. Marco},
journal= {arXiv preprint arXiv:math/0307296},
year = {2018}
}
Comments
13 pages, 2 figures, accepted in Compositio Math