Tropical Möbius strips and ruled surfaces
Abstract
We consider the enumeration of tropical curves in Möbius strips for two different lattice structures and relate them to the enumeration of curves in two rational ruled surfaces over a complex elliptic curve. Using this correspondence, we prove regularity results such as the piecewise quasi-polynomiality of relative invariants and the quasi-modularity of their generating series.
Fields of Study & Subjects
Polynomial and algebraic computation
Algebraic Geometry and Number Theory
Commutative Algebra and Its Applications
Publication details
- Journal / source
- Annales de la faculté des sciences de Toulouse Mathématiques
- Volume
- 35
- Issue
- 2
- Pages
- 297–350
- Publication date
- 12 June 2026
- Language
- EN