Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic

Gerald Höhn

Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic

Algebraic Geometry 2026-07-11 v1

Authors: Gerald Höhn

Abstract

We answer the automorphism question raised by Naskr\k{e}cki and Pokora for their $(24_4, 32_3)$ -configuration on the Schur quartic. The stabilizer of either $24$ -line half is isomorphic to $W(D_4)\rtimes C_3$ , where $C_3$ acts by even triality; the full projective automorphism group has order $1152$ . The $D_4$ model also gives an intrinsic coloring and shortens the incidence check.

Keywords

line configurations Schur quartic automorphism group incidence geometry D4 model

Cite

@article{arxiv.2607.10090,
  title  = {Automorphisms of a $(24_4, 32_3)$-configuration on the Schur quartic},
  author = {Gerald Höhn},
  journal= {arXiv preprint arXiv:2607.10090},
  year   = {2026}
}

Comments

2 pages, LaTeX