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http://arks.princeton.edu/ark:/88435/dsp016682x689p| 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 |
| URI: | http://arks.princeton.edu/ark:/88435/dsp016682x689p |
| Alternate format: | The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog: catalog.princeton.edu |
| Type of Material: | Academic dissertations (Ph.D.) |
| Language: | en |
| Appears in Collections: | Mathematics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| Qiu_princeton_0181D_13372.pdf | 1.51 MB | Adobe PDF | View/Download |
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