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Title: The Gross-Zagier-Zhang formula over function fields
Authors: Qiu, Congling
Advisors: Zhang, Shouwu
Contributors: Mathematics Department
Subjects: Mathematics
Issue Date: 2020
Publisher: Princeton, NJ : Princeton University
Abstract: We prove the Gross-Zagier-Zhang formula over global function fields of arbitrary characteristics. It is an explicit formula which relates the Néron-Tate heights of CM points on abelian varieties and central derivatives of associated quadratic base change L-functions. Our proof is based on an arithmetic variant of a relative trace identity of Jacquet. This approach is proposed by W. Zhang. As a byproduct, we prove the Waldspurger formula over global function fields
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog:
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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