{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,3,23]],"date-time":"2023-03-23T04:08:03Z","timestamp":1679544483110},"reference-count":4,"publisher":"Cambridge University Press (CUP)","issue":"3","license":[{"start":{"date-parts":[[2014,3,12]],"date-time":"2014-03-12T00:00:00Z","timestamp":1394582400000},"content-version":"unspecified","delay-in-days":8228,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. symb. log."],"published-print":{"date-parts":[[1991,9]]},"abstract":"<jats:title>Abstract<\/jats:title><jats:p>We study function fields over <jats:italic>p<\/jats:italic>-adically closed fields in the first-order language of fields. Using ideas of Duret [D], we show that the field of constants is definable, and that the genus is an elementary property.<\/jats:p>","DOI":"10.2178\/jsl\/1183743726","type":"journal-article","created":{"date-parts":[[2009,8,4]],"date-time":"2009-08-04T20:52:04Z","timestamp":1249419124000},"page":"783-785","source":"Crossref","is-referenced-by-count":1,"title":["D\u00e9finissabilit\u00e9 dans les corps de fonctions <i>p<\/i>-adiques"],"prefix":"10.1017","volume":"56","author":[{"given":"Luc","family":"B\u00e9lair","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jean-Louis","family":"Duret","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"56","published-online":{"date-parts":[[2014,3,12]]},"reference":[{"key":"S0022481200023951_ref004","volume-title":"Elementary and analytic theory of algebraic numbers","author":"Narkiewicz","year":"1974"},{"key":"S0022481200023951_ref001","volume-title":"S\u00e9minaire de structures alg\u00e9briques ordonn\u00e9es, ann\u00e9e 1985\u20131986","author":"B\u00e9lair","year":"1986"},{"key":"S0022481200023951_ref003","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-66671-1"},{"key":"S0022481200023951_ref002","first-page":"948","volume":"51","author":"Duret","year":"1986","journal-title":"Sur la th\u00e9orie \u00e9l\u00e9mentaire des corps de fonctions"}],"container-title":["The Journal of Symbolic Logic"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0022481200023951","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,3,22]],"date-time":"2023-03-22T10:34:42Z","timestamp":1679481282000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0022481200023951\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1991,9]]},"references-count":4,"journal-issue":{"issue":"3","published-print":{"date-parts":[[1991,9]]}},"alternative-id":["S0022481200023951"],"URL":"https:\/\/doi.org\/10.2178\/jsl\/1183743726","relation":{},"ISSN":["0022-4812","1943-5886"],"issn-type":[{"value":"0022-4812","type":"print"},{"value":"1943-5886","type":"electronic"}],"subject":[],"published":{"date-parts":[[1991,9]]}}}