On the arithmetic Siegel-Weil formula for GSpin Shimura varieties
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...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg,
2022-05-11T12:43:02Z.
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| Online Access: | Get fulltext |
| LEADER | 01036 am a22001453u 4500 | ||
|---|---|---|---|
| 001 | 142458 | ||
| 042 | |a dc | ||
| 100 | 1 | 0 | |a Li, Chao |e author |
| 700 | 1 | 0 | |a Zhang, Wei |e author |
| 245 | 0 | 0 | |a On the arithmetic Siegel-Weil formula for GSpin Shimura varieties |
| 260 | |b Springer Berlin Heidelberg, |c 2022-05-11T12:43:02Z. | ||
| 856 | |z Get fulltext |u https://hdl.handle.net/1721.1/142458 | ||
| 520 | |a 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. | ||
| 546 | |a en | ||
| 655 | 7 | |a Article | |