| dc.contributor.author | Costa, Edgar | |
| dc.contributor.author | Lombardo, Davide | |
| dc.contributor.author | Voight, John | |
| dc.date.accessioned | 2021-11-01T14:33:47Z | |
| dc.date.available | 2021-11-01T14:33:47Z | |
| dc.date.issued | 2021-06-30 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/136851 | |
| dc.description.abstract | Abstract
Assuming the Mumford–Tate conjecture, we show that the center of the endomorphism ring of an abelian variety defined over a number field can be recovered from an appropriate intersection of the fields obtained from its Frobenius endomorphisms. We then apply this result to exhibit a practical algorithm to compute this center. | en_US |
| dc.publisher | Springer International Publishing | en_US |
| dc.relation.isversionof | https://doi.org/10.1007/s40993-021-00264-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 International Publishing | en_US |
| dc.title | Identifying central endomorphisms of an abelian variety via Frobenius endomorphisms | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Research in Number Theory. 2021 Jun 30;7(3):46 | 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 | 2021-07-01T04:11:15Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s), under exclusive licence to Springer Nature Switzerland AG | |
| dspace.embargo.terms | Y | |
| dspace.date.submission | 2021-07-01T04:11:15Z | |
| mit.license | PUBLISHER_POLICY | |
| mit.metadata.status | Authority Work and Publication Information Needed | |
