3 papers
math.CV2024
A residue formula for integrals with hyperplane singularities
Andrew O'Desky
We prove a new residue formula for integrals with singularities along affine hyperplanes. Our formula makes use of a notion for real matrices called stability which is inspired by…
math.NT2024
Integral points on singular toric varieties and cyclic normal polynomials
Andrew O'Desky
We establish a formula for the height zeta function for integral points on a class of projective toric varieties. Our method builds on the harmonic analysis approach of Batyrev--Ts…
math.NT2024
On trace-one generators of abelian cubic fields
Andrew O'Desky
Let be a tamely ramified abelian cubic number field with discriminant . We prove that the number of trace-one monic integral polynomials with root field and height …