Quadrirational Yang-Baxter maps and del Pezzo surfaces
Abstract
The thesis contains two major objects of study: quadrirational Yang-Baxter maps and (weak) del Pezzo surfaces. We provide a novel link between the geometric construction of quadrirational Yang-Baxter maps given by Adler, Bobenko and Suris and the automorphisms of certain weak del Pezzo surfaces, leading to a new geometric interpretation of these automorphisms. We also provide a complete classification of the automorphism groups of all quartic weak del Pezzo surfaces.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Mathematics and Applications
Nonlinear Waves and Solitons
Publication details
- Journal / source
- Loughborough University Research Repository (Loughborough University)
- Publication date
- 1 January 2026
- Document type
- Thesis