| dc.creator |
Li, Chao |
|
| dc.creator |
Zhang, Wei |
|
| dc.date |
2022-05-11T12:43:02Z |
|
| dc.date |
2022-05-11T12:43:02Z |
|
| dc.date |
2022-03-16 |
|
| dc.date |
2022-05-11T03:28:38Z |
|
| dc.date.accessioned |
2022-05-18T20:11:42Z |
|
| dc.date.available |
2022-05-18T20:11:42Z |
|
| dc.identifier |
https://hdl.handle.net/1721.1/142458 |
|
| dc.identifier |
Li, Chao and Zhang, Wei. 2022. "On the arithmetic Siegel–Weil formula for GSpin Shimura varieties." |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/42170 |
|
| dc.description |
Abstract
We formulate and prove a local arithmetic Siegel–Weil formula for GSpin Rapoport–Zink spaces, which is a precise identity between the arithmetic intersection numbers of special cycles on GSpin Rapoport–Zink spaces and the derivatives of local representation densities of quadratic forms. As a first application, we prove a semi-global arithmetic Siegel–Weil formula as conjectured by Kudla, which relates the arithmetic intersection numbers of special cycles on GSpin Shimura varieties at a place of good reduction and the central derivatives of nonsingular Fourier coefficients of incoherent Siegel Eisenstein series. |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
Springer Berlin Heidelberg |
|
| dc.relation |
https://doi.org/10.1007/s00222-022-01106-z |
|
| dc.rights |
Attribution-NonCommercial-ShareAlike 4.0 International |
|
| dc.rights |
https://creativecommons.org/licenses/by-nc-sa/4.0/ |
|
| dc.rights |
The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature |
|
| dc.source |
Springer Berlin Heidelberg |
|
| dc.title |
On the arithmetic Siegel–Weil formula for GSpin Shimura varieties |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|