论文标题

一些统一的shimura品种的半稳定型号,超过刺激素数

Semi-stable models for some unitary Shimura varieties over ramified primes

论文作者

Zachos, Ioannis

论文摘要

我们认为Shimura品种与一组签名$(2,N-2)$相关的品种。我们为这些品种提供了常规的$ p $ - addic积分模型,这些模型与奇数素数$ p $相比,这些模型在假想的二次领域中均在hermitian Space的自我晶格的稳定器中给出$ p $的级别子组。我们的构造是通过相应的本地模型的明确分辨率给出的。

We consider Shimura varieties associated to a unitary group of signature $(2,n-2)$. We give regular $p$-adic integral models for these varieties over odd primes $p$ which ramify in the imaginary quadratic field with level subgroup at $p$ given by the stabilizer of a selfdual lattice in the hermitian space. Our construction is given by an explicit resolution of a corresponding local model.

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