Singular Atiyah Configurations

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.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-13
DOI
https://doi.org/10.5281/zenodo.22738747
Primary Topic
Mathematics and Applications
Type
preprint
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preprint

Singular Atiyah Configurations

Jan Eickhoff
Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
preprint

Singular Atiyah Configurations

Jan Eickhoff
preprint en

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.

Zenodo (CERN European Organization for Nuclear Research)
Mathematics and Applications
DOIOpen Access PDFOpenAlex
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