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- W3099333463 abstract "Local models are schemes, defined in terms of linear-algebraic moduli problems, which give 'etale-local neighborhoods of integral models of certain p-adic PEL Shimura varieties defined by Rapoport and Zink. In the case of a unitary similitude group whose localization at Q_p is ramified, quasi-split GU_n, Pappas has observed that the original local models are typically not flat, and he and Rapoport have introduced new conditions to the original moduli problem which they conjecture to yield a flat scheme. In a previous paper we proved that their new local models are topologically flat when n is odd. In the present paper we prove topological flatness when n is even. Along the way, we characterize the mu-admissible set for certain cocharacters mu in types B and D, and we show that for these cocharacters admissibility can be characterized in a vertexwise way, confirming a conjecture of Pappas and Rapoport." @default.
- W3099333463 created "2020-11-23" @default.
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- W3099333463 date "2013-07-10" @default.
- W3099333463 modified "2023-10-06" @default.
- W3099333463 title "Topological flatness of local models for ramified unitary groups. II. The even dimensional case" @default.
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- W3099333463 doi "https://doi.org/10.1017/s1474748013000157" @default.
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