3 papers
math.NT2026
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 .…
math.NT2024
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…
math.NT2024
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…