English

Galois Groups in Enumerative Geometry and Applications

Algebraic Geometry 2025-09-22 v2

Abstract

As Jordan observed in 1870, just as univariate polynomials have Galois groups, so do problems in enumerative geometry. Despite this pedigree, the study of Galois groups in enumerative geometry was dormant for a century, with a systematic study only occuring in the past 15 years. We discuss the current directions of this study, including open problems and conjectures.

Keywords

Cite

@article{arxiv.2108.07905,
  title  = {Galois Groups in Enumerative Geometry and Applications},
  author = {Frank Sottile and Thomas Yahl},
  journal= {arXiv preprint arXiv:2108.07905},
  year   = {2025}
}

Comments

41 pages

R2 v1 2026-06-24T05:12:26.325Z