On curves with one place at infinity
Abstract
Let K be an algebraically closed field of characteristic zero. Many of the geometric properties of the plane curves in K^2 with one place at infinity can be obtained from the arithmetic of numerical semigroups associated with these curves. In this survey, we recall the main properties of these semigroups as well as the geometric results obtained from these properties. We also address some problems.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Polynomial and algebraic computation
Publication details
- Journal / source
- arXiv (Cornell University)
- Publisher
- Springer Science and Business Media LLC
- Volume
- 111
- Issue
- 2
- Pages
- 295-315
- Publication date
- 16 September 2026
- Document type
- Preprint