3 papers
math.AG2023
Local Euler characteristics of -singularities and their application to hyperbolicity
Nils Bruin, Nathan Ilten, Zhe Xu
Wahl's local Euler characteristic measures the local contributions of a singularity to the usual Euler characteristic of a sheaf. Using tools from toric geometry, we study the loca…
math.AG2023
On (2,2)-decomposable genus 4 Jacobians
Nils Bruin, Avinash Kulkarni
We consider the question of when a Jacobian of a curve of genus admits a -isogeny to two polarized dimension abelian varieties. We find that one of them must be a J…
math.NT2022
Rigorous numerical integration of algebraic functions
Nils Bruin, Linden Disney-Hogg, Wuqian Effie Gao
We present an algorithm which uses Fujiwara's inequality to bound algebraic functions over ellipses of a certain type, allowing us to concretely implement a rigorous Gauss-Legendre…