Yu Luo

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20212026

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math.AG2025

The basic locus of ramified unitary Shimura varieties of signature $(n - 1, 1)$ at maximal vertex level

Qiao He, Yu Luo, Yousheng Shi

We construct the Bruhat--Tits stratification of the reduced locus of the ramified unitary Rapoport--Zink space of signature $(n - 1, 1)$ , with the level being the stabilizer of a vert…

math.AG2024

Regular models of ramified unitary Shimura varieties at maximal parahoric level

Qiao He, Yu Luo, Yousheng Shi

We use the idea of splitting models to define and study a semi-stable model for unitary Shimura varieties of signature $(n - 1, 1)$ with maximal parahoric level structure at ramified…

math.AG2024

On the moduli description of ramified unitary local models of signature $(n - 1, 1)$

Yu Luo

We provide a moduli description of the ramified unitary local model of signature $(n - 1, 1)$ with arbitrary parahoric level structure, assuming the residue field has characteristic n…

The basic locus of ramified unitary Shimura varieties of signature (n−1,1) at maximal vertex level

Regular models of ramified unitary Shimura varieties at maximal parahoric level

On the moduli description of ramified unitary local models of signature (n−1,1)

The basic locus of ramified unitary Shimura varieties of signature $(n - 1, 1)$ at maximal vertex level

On the moduli description of ramified unitary local models of signature $(n - 1, 1)$