Faltings heights of CM cycles and derivatives of L-functions
| dc.creator | Bruinier, Jan Hendrik | |
| dc.creator | Yang, Tonghai | |
| dc.date | 2008-07-03 | |
| dc.date.accessioned | 2026-07-07T09:48:13Z | |
| dc.date.available | 2026-07-07T09:48:13Z | |
| dc.description | We study the Faltings height pairing of arithmetic Heegner divisors and CM cycles on Shimura varieties associated to orthogonal groups. We compute the Archimedian contribution to the height pairing and derive a conjecture relating the total pairing to the central derivative of a Rankin L-function. We prove the conjecture in certain cases where the Shimura variety has dimension 0, 1, or 2. In particular, we obtain a new proof of the Gross-Zagier formula. | |
| dc.description | 50 pages | |
| dc.identifier | https://arxiv.org/abs/0807.0502 | |
| dc.identifier | http://arxiv.org/abs/0807.0502 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/164130 | |
| dc.subject | Number Theory | |
| dc.subject | Algebraic Geometry | |
| dc.subject | 11G18, 14G40, 11F67 | |
| dc.title | Faltings heights of CM cycles and derivatives of L-functions | |
| dc.type | text |