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20212026
most citedCohomology of the basic unramified PEL unitary Rapoport-Zink space of signature

1 citations · 1 across the 8 of their papers we have counts for

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10 papers

cs.CL2026

Do correct answers have stable latent knowledge support?

Chuancheng Shi, Shangze Li, Wenhua Wu +4

Large language models are typically evaluated in terms of the correctness of their output. However, output correctness alone does not confirm whether the latent knowledge supportin…

math.NT2026

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 >…

math.NT2026

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…

math.RT2026

Twisted Gelfand-Ponomarev modules

Joseph Muller, Chia-Fu Yu

In this expository paper, given a field and two automorphisms , we give a self-contained proof of the classification of finite dimensional -vector s…

math.NT2025

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…

math.NT2025

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…

math.RT2024

Cohomology of the Bruhat-Tits strata in the supersingular locus of the Shimura variety at a ramified prime

Joseph Muller

The supersingular locus of the Shimura variety at a ramified prime is stratified by Coxeter varieties attached to finite symplectic groups. In this paper,…

math.NT2022

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,…

math.NT2022★ 1 cited

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…

math.RT2021

Cohomology of the Bruhat-Tits strata in the unramified unitary Rapoport-Zink space of signature

Joseph Muller

In [Inventiones mathematicae, 184 (2011)], Vollaard and Wedhorn defined a stratification on the special fiber of the unitary unramified PEL Rapoport-Zink space with signature $(1,n…