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Ekedahl-Oort strata meeting the supersingular locus
Joseph Muller
We give an explicit combinatorial criterion for an Ekedahl-Oort (EO) stratum in the moduli stack of principally polarized abelian varieties of dimension in characteristic $p >…
EKOR and BT stratifications for basic unramified Rapoport-Zink spaces
Joseph Muller
In this paper, we establish the relation between the Ekedahl-Kottwitz-Oort-Rapoport stratification and the Bruhat-Tits stratification on basic unramified Rapop…
The Bruhat-Tits stratification for basic unramified Rapoport-Zink spaces at arbitrary parahoric level
Joseph Muller
In this paper, we describe a stratification on the reduced special fiber of the basic unramified unitary Rapoport-Zink space of signature and at arbitrary parahoric level…
Nearby cycles on the local model for the PEL Shimura variety over a ramified prime
Joseph Muller
In this paper, we compute the cohomology sheaves of the -adic nearby cycles on the local model of the PEL Shimura variety over a ramified prime, with lev…
On the cohomology of the ramified PEL unitary Rapoport-Zink space of signature
Joseph Muller
In this paper, we study the cohomology of the ramified PEL unitary Rapoport-Zink space of signature by using the Bruhat-Tits stratification on its special fiber. As such,…
Cohomology of the basic unramified PEL unitary Rapoport-Zink space of signature
Joseph Muller
In this paper, we study the cohomology of the unitary unramified PEL Rapoport-Zink space of signature at maximal level. Our method revolves around the spectral sequence a…