PreprintCC BY-NC-ND 4.0arXiv
Singular Atiyah Configurations
Abstract
We construct arbitrarily large configurations of distinct points in Euclidean three-space with linearly dependent Atiyah polynomials, including planar configurations. The configurations consist of two coaxial cyclic orbits and axial points. We also obtain analogous configurations in hyperbolic three-space.
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BibTeX
@misc{eickhoff2026singular,
title = {{Singular Atiyah Configurations}},
author = {Jan Eickhoff},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.33090},
eprint = {2610.33090},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.33090},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Singular Atiyah Configurations
AU - Jan Eickhoff
PY - 2026
DA - 2026/10/21
PB - arXiv
DO - 10.48550/arxiv.2610.33090
UR - https://arxiv.org/abs/2610.33090
AB - We construct arbitrarily large configurations of distinct points in Euclidean three-space with linearly dependent Atiyah polynomials, including planar configurations. The configurations consist of two coaxial cyclic orbits and axial points. We also obtain analogous configurations in hyperbolic three-space.
ER -