3 papers
math.AC2023
Collections of an Ideal: Any -Absorbing Ideal is Strongly -Absorbing
Spencer Secord
We show that any -absorbing ideal must be strongly -absorbing, which is the first of Anderson and Badawi's three interconnected conjectures on absorbing ideals. We prove this…
math.AC2023
Straight Domains are Locally Divided
Spencer Secord
We present a proof that all straight domains are locally divided$\unicode{x2014}$thereby answering two open problems posed by Dobbs and Picavet, which appeared in the survey "Open…
math.NT2022
Definite orthogonal modular forms: Computations, Excursions and Discoveries
Eran Assaf, Dan Fretwell, Colin Ingalls +3
We consider spaces of modular forms attached to definite orthogonal groups of low even rank and nontrivial level, equipped with Hecke operators defined by Kneser neighbours. After…