| dc.contributor |
Massachusetts Institute of Technology. Department of Mathematics |
|
| dc.creator |
Li, Chao |
|
| dc.creator |
Zhang, Wei |
|
| dc.date |
2022-10-18T15:35:21Z |
|
| dc.date |
2022-10-18T15:35:21Z |
|
| dc.date |
2021 |
|
| dc.date |
2022-10-18T15:31:40Z |
|
| dc.date.accessioned |
2023-03-01T18:07:58Z |
|
| dc.date.available |
2023-03-01T18:07:58Z |
|
| dc.identifier |
https://hdl.handle.net/1721.1/145885 |
|
| dc.identifier |
Li, Chao and Zhang, Wei. 2021. "Kudla–Rapoport cycles and derivatives of local densities." Journal of the American Mathematical Society, 35 (3). |
|
| dc.identifier.uri |
http://localhost:8080/xmlui/handle/CUHPOERS/278871 |
|
| dc.description |
<p>We prove the local Kudla–Rapoport conjecture, which is a precise identity between the arithmetic intersection numbers of special cycles on unitary Rapoport–Zink spaces and the derivatives of local representation densities of hermitian forms. As a first application, we prove the global Kudla–Rapoport conjecture, which relates the arithmetic intersection numbers of special cycles on unitary Shimura varieties and the central derivatives of the Fourier coefficients of incoherent Eisenstein series. Combining previous results of Liu and Garcia–Sankaran, we also prove cases of the arithmetic Siegel–Weil formula in any dimension.</p> |
|
| dc.format |
application/pdf |
|
| dc.language |
en |
|
| dc.publisher |
American Mathematical Society (AMS) |
|
| dc.relation |
10.1090/JAMS/988 |
|
| dc.relation |
Journal of the American Mathematical Society |
|
| dc.rights |
Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. |
|
| dc.source |
American Mathematical Society |
|
| dc.title |
Kudla–Rapoport cycles and derivatives of local densities |
|
| dc.type |
Article |
|
| dc.type |
http://purl.org/eprint/type/JournalArticle |
|