V. Karemaker

collaborators

4 papers

math.NT2026

Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"

Valentijn Karemaker, Jeffrey Katen, Mihran Papikian

In this note we provide corrections to Theorem 5.4 of the paper ``Isomorphism classes of Drinfeld modules over finite fields'', arXiv:2209.15033. The main theorems of this paper, T…

math.NT2026

Supersingular Ekedahl-Oort strata and Oort's conjecture

Valentijn Karemaker, Chia-Fu Yu

Let $A_{g}$ be the moduli space over $F_{p}$ of $g$ -dimensional principally polarised abelian varieties, where $p$ is a prime. We show that if $g$ is even…

math.NT2025

Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms

Jonas BergstrÃ¶m, Valentijn Karemaker, Stefano Marseglia

We give a categorical description of all abelian varieties with commutative endomorphism ring over a finite field with $q = p^{a}$ elements in a fixed isogeny class in terms of pairs c…

math.NT2025

When is a polarised abelian variety determined by its $p$ -divisible group?

Tomoyoshi Ibukiyama, Valentijn Karemaker, Chia-Fu Yu

We study the Siegel modular variety $A_{g} \otimes F_{p}$ of genus $g$ and its supersingular locus $S_{g}$ . As our main result we determine precis…

Corrigendum to "Isomorphism classes of Drinfeld modules over finite fields"

Supersingular Ekedahl-Oort strata and Oort's conjecture

Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms

When is a polarised abelian variety determined by its p-divisible group?

When is a polarised abelian variety determined by its $p$ -divisible group?