8 citations · 21 across the 16 of their papers we have counts for
20 papers
Oort's conjecture on supersingular abelian varieties in odd characteristic
Valentijn Karemaker, Chia-Fu Yu
Oort's conjecture asserts that for any and any prime , every geometric generic member in the supersingular locus has automorphism group .…
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…
Abelian varieties over finite fields with commutative endomorphism algebra: theory and algorithms
Jonas Bergström, Valentijn Karemaker, Stefano Marseglia
We give a categorical description of all abelian varieties with commutative endomorphism ring over a finite field with elements in a fixed isogeny class in terms of pairs c…
Supersingular Ekedahl-Oort strata and Oort's conjecture
Valentijn Karemaker, Chia-Fu Yu
Let be the moduli space over of -dimensional principally polarised abelian varieties, where is a prime. We show that if is even…
Uniqueness of indecomposable idempotents in algebras with involution
Valentijn Karemaker, Akio Tamagawa, Chia-Fu Yu
We prove uniqueness of a decomposition of into indecomposable Hermitian idempotents in an order of a finite-dimensional -algebra with positive involution, by genera…
A survey of local-global methods for Hilbert's Tenth Problem
Sylvy Anscombe, Valentijn Karemaker, Zeynep Kisakürek +3
Hilbert's Tenth Problem (H10) for a ring R asks for an algorithm to decide correctly, for each , whether the diophantine equation $f(X_{1},...,X_…