Galois groups in enumerative geometry and applications

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.

Authors

Publication Details

Journal
Expositiones Mathematicae
Published
2025-10-09
DOI
https://doi.org/10.1016/j.exmath.2025.125731
Citations
1
Primary Topic
Polynomial and algebraic computation
Type
article
Field-Weighted Citation Impact
0.00
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article

Galois groups in enumerative geometry and applications

Thomas Yahl, Frank Sottile
1 citations
Expositiones Mathematicae
Polynomial and algebraic computation
article

Galois groups in enumerative geometry and applications

Thomas Yahl, Frank Sottile
article en
1 citations

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.

Expositiones MathematicaeVol. 43(6)
Openalex Percentile: Top 100%
Polynomial and algebraic computation
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Galois groups in enumerative geometry and applications — Thomas Yahl, Frank Sottile · Expositiones Mathematicae (2025) | TGRS Research Map | TGRS