| dc.contributor.author | Costa, Edgar | |
| dc.contributor.author | Elsenhans, Andreas-Stephan | |
| dc.contributor.author | Jahnel, Jörg | |
| dc.contributor.author | Martins Dias Costa, Edgar Jose | |
| dc.date.accessioned | 2020-12-22T15:52:21Z | |
| dc.date.available | 2020-12-22T15:52:21Z | |
| dc.date.issued | 2020-06 | |
| dc.date.submitted | 2019-09 | |
| dc.identifier.issn | 2522-0160 | |
| dc.identifier.issn | 2363-9555 | |
| dc.identifier.uri | https://hdl.handle.net/1721.1/128891 | |
| dc.description.abstract | We report on our results concerning the distribution of the geometric Picard ranks of K3 surfaces under reduction modulo various primes. In the situation that rk Pic S [subscript overline K] is even, we introduce a quadratic character, called the jump character, such that rk Pic S [subscript overline F][subscript > Pic S [subscript overline K] for all good primes at which the character evaluates to (-1). | en_US |
| dc.publisher | Springer Science and Business Media LLC | en_US |
| dc.relation.isversionof | http://dx.doi.org/10.1007/s40993-020-00204-2 | en_US |
| dc.rights | Creative Commons Attribution | en_US |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_US |
| dc.source | Springer International Publishing | en_US |
| dc.title | On the distribution of the Picard ranks of the reductions of a K3 surface | en_US |
| dc.type | Article | en_US |
| dc.identifier.citation | Costa, Edgar et al. "On the distribution of the Picard ranks of the reductions of a K3 surface." Research in Number Theory 6, 3 (June 2020): 27 © 2020 The Author(s) | en_US |
| dc.contributor.department | Massachusetts Institute of Technology. Department of Mathematics | en_US |
| dc.relation.journal | Research in Number Theory | en_US |
| dc.eprint.version | Final published version | 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 | 2020-06-26T13:29:20Z | |
| dc.language.rfc3066 | en | |
| dc.rights.holder | The Author(s) | |
| dspace.embargo.terms | N | |
| dspace.date.submission | 2020-06-26T13:29:20Z | |
| mit.journal.volume | 6 | en_US |
| mit.journal.issue | 3 | en_US |
| mit.license | PUBLISHER_CC | |
| mit.metadata.status | Complete | |
