English

Irreducibility of lemniscates

Algebraic Geometry 2024-12-03 v1

Abstract

We prove that lemniscates (i.e., sets of the form P(z)=1|P(z)|=1 where PP is a complex polynomial) are irreducible real algebraic curves.

Keywords

Cite

@article{arxiv.1806.10377,
  title  = {Irreducibility of lemniscates},
  author = {S. Yu. Orevkov},
  journal= {arXiv preprint arXiv:1806.10377},
  year   = {2024}
}

Comments

2 pages

R2 v1 2026-06-23T02:43:19.056Z