3 papers
math.AG2025
Representations of finite subgroups of Cremona groups
Alexander Duncan, Bailey Heath, Christian Urech
The Cremona group of rank n over a field k is the group of birational automorphisms of the n-dimensional projective space over the field k. We study the minimal dimension such that…
math.AG2025
The numerical Amitsur group
Alexander Duncan, Shreya Sharma
The Amitsur subgroup of a variety with a group action measures the failure of the action to lift to the total spaces of its line bundles. We introduce the "numerical Amitsur group,…
math.AG2023
A note on an effective bound for the gonality conjecture
Alexander Duncan, Wenbo Niu, Jinhyung Park
The gonality conjecture, proved by Ein--Lazarsfeld, asserts that the gonality of a nonsingular projective curve of genus can be detected from its syzygies in the embedding give…