English

On symmetric plane quartic curves

Algebraic Geometry 2024-06-12 v1

Abstract

In the present paper we study the geometry of plane quartics with large automorphism groups. We show results devoted to smooth plane quartics that are invariant under the action of the elementary abelian group of type [2,2,2][2,2,2], and we study geometric properties of the smooth plane quartic having automorphism group of order 4848.

Keywords

Cite

@article{arxiv.2406.07015,
  title  = {On symmetric plane quartic curves},
  author = {Marek Janasz},
  journal= {arXiv preprint arXiv:2406.07015},
  year   = {2024}
}

Comments

9 pages

R2 v1 2026-06-28T17:00:54.373Z