80 citations · 162 across the 21 of their papers we have counts for
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math.NT2022★ 1 cited
Modular Heights of Quaternionic Shimura Curves
Xinyi Yuan
The goal of this paper is to prove a formula expressing the modular height of a quaternionic Shimura curve over a totally real number field in terms of the logarithmic derivative o…
math.NT2022
Explicit Kodaira-Spencer map over Shimura Curves
Xinyi Yuan
The goal of this paper is to explicitly compute the Kodaira-Spencer map for a quaternionic Shimura curve over Q and its effect on the metrics of the Hodge bundle. The results are k…
math.AP2022
Existence and multiplicity of solutions to Dirichlet problem for semilinear subelliptic equation with a free perturbation
Hua Chen, Hong-Ge Chen, Xin-Rui Yuan
This paper is concerned with existence and multiplicity results for the semilinear subelliptic equation with free perturbation term. By using the degenerate Rellich-Kondrachov comp…