2 papers
math.AG2026
Oort's conjecture for split unitary Shimura varieties
Paul Philippe, Fabian Schnelle, Eva Viehmann
We prove that generically on the basic stratum of split unitary Shimura varieties, the universal abelian variety with endomorphism structure and polarization has minimal automorphi…
math.NT2026
Igusa stacks for certain abelian-type Shimura varieties
Fabian Schnelle
We construct Igusa stacks for the good reduction locus of a class of abelian-type Shimura varieties that can be defined in terms of a PEL datum, under the assumption that it is of…