2 papers
math.NT2025
Arithmetic functions on a Dedekind domain
Andrew Phillips
We study functions from a unique factorization monoid to a field. The set of all such functions is a commutative ring isomorphic to a ring of formal power series over the field, wi…
math.NT2025
Special endomorphisms of QM abelian surfaces
Andrew Phillips
In this paper we generalize a theorem of Kudla-Rapoport-Yang which gives a formula for the arithmetic degree of the moduli space of CM elliptic curves together with a special endom…