| dc.contributor.author | Shankar, Ananth N. | |
| dc.contributor.author | Zhou, Rong | |
| dc.date.accessioned | 2021-09-20T17:41:39Z | |
| dc.date.available | 2021-09-20T17:41:39Z | |
| dc.date.issued | 2020-07-15 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/132050 | |
| dc.description.abstract | Abstract
We study the formal neighbourhood of a point in the
$$\mu $$
μ
-ordinary locus of an integral model of a Hodge type Shimura variety. We show that this formal neighbourhood has a structure of a “shifted cascade”. Moreover we show that the CM points on the formal neighbourhood are dense and that the identity section of the shifted cascade corresponds to a lift of the abelian variety which has a characterization in terms of its endomorphisms, analogous to the Serre–Tate canonical lift of an ordinary abelian variety. | en_US |
| dc.publisher | Springer Berlin Heidelberg | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s00209-020-02556-y | en_US |
| 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. | en_US |
| dc.source | Springer Berlin Heidelberg | en_US |
| dc.title | Serre–Tate theory for Shimura varieties of Hodge type | en_US |
| dc.type | Article | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | |
| dc.eprint.version | Author's final manuscript | en_US |
| dc.type.uri | http://purl.org/eprint/type/JournalArticle | en_US |
| eprint.status | http://purl.org/eprint/status/PeerReviewed | en_US |
| dc.date.updated | 2021-03-13T04:22:44Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | Springer-Verlag GmbH Germany, part of Springer Nature | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2021-03-13T04:22:44Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
