3 papers
math.AG2025
Classical Algebraic Geometry and Discrete Integrable Systems
Gessica Alecci, Michele Graffeo, Alexander Stokes
The aim of these notes is to present an accessible overview of some topics in classical algebraic geometry which have applications to aspects of discrete integrable systems. Precis…
nlin.SI2025
What is the symmetry group of a d- discrete Painlevé equation?
Anton Dzhamay, Yang Shi, Alexander Stokes +1
The symmetry group of a (discrete) Painlevé equation provides crucial information on the properties of the equation. In this paper we argue against the commonly-held belief that t…
nlin.SI2024
Deautonomisation by singularity confinement and degree growth
Alexander Stokes, Takafumi Mase, Ralph Willox +1
In this paper we give an explanation of a number of observations relating to degree growth of birational mappings of the plane and their deautonomisation by singularity confinement…