Yu Luo

activity

20212026

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3 papers · 1 filter

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.AP2024

Anisotropic Finsler $N$ -Laplacian Liouville equation in convex cones

Wei Dai, Changfeng Gui, YunPeng Luo

We consider the anisotropic Finsler $N$ -Laplacian Liouville equation \[-Δ^{H}_{N}u=e^u \qquad {\rm{in}}\,\, \mathcal{C},\] where $N \geq 2$ , $C \subseteq R^{N}$ is a…

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…

Regular models of ramified unitary Shimura varieties at maximal parahoric level

Anisotropic Finsler N-Laplacian Liouville equation in convex cones

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

Anisotropic Finsler $N$ -Laplacian Liouville equation in convex cones

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