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- W4320458565 abstract "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 of the Dedekind zeta function of the totally real number field. Our proof is based on the work of Yuan-Zhang-Zhang on the Gross-Zagier formula and the work of Yuan-Zhang on the averaged Colmez conjecture. All these works are in turn inspired by the Pioneering work of Gross-Zagier and some philosophies of Kudla's program." @default.
- W4320458565 created "2023-02-14" @default.
- W4320458565 creator A5011590037 @default.
- W4320458565 date "2022-05-27" @default.
- W4320458565 modified "2023-09-29" @default.
- W4320458565 title "Modular Heights of Quaternionic Shimura Curves" @default.
- W4320458565 doi "https://doi.org/10.48550/arxiv.2205.13995" @default.
- W4320458565 hasPublicationYear "2022" @default.
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