3 papers
math.AG2021
The 3-dimensional Lyness map and a self-mirror log Calabi-Yau 3-fold
Tom Ducat
The 2-dimensional Lyness map is a 5-periodic birational map of the plane which may famously be resolved to give an automorphism of a log Calabi-Yau surface, given by the complement…
math.AG2018
Constructing Fano 3-folds from cluster varieties of rank 2
Stephen Coughlan, Tom Ducat
Cluster algebras give rise to a class of Gorenstein rings which enjoy a large amount of symmetry. Concentrating on the rank 2 cases, we show how cluster varieties can be used to co…
math.AG2017
The decomposition groups of plane conics and plane rational cubics
Tom Ducat, Isac Hedén, Susanna Zimmermann
The decomposition group of an irreducible plane curve is the subgroup of birational maps which restrict to a…