The $\mathrm{GL}_4$ Rapoport-Zink Space

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Publication:6309248

DOI10.1093/IMRN/RNZ225arXiv1811.02040WikidataQ127344400 ScholiaQ127344400MaRDI QIDQ6309248

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Publication date: 5 November 2018

Abstract: We give a description of the mathrmGL4 Rapoport-Zink space, including the connected components, irreducible components, intersection behavior of the irreducible components, and Ekedahl-Oort stratification. As an application of this, we also give a description of the supersingular locus of the Shimura variety for the group mathrmGU(2,2) over a prime split in the relevant imaginary quadratic field.





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