{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T06:11:46Z","timestamp":1777615906643,"version":"3.51.4"},"reference-count":35,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"2","funder":[{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1601303"],"award-info":[{"award-number":["DMS-1601303"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000001","name":"National Science Foundation","doi-asserted-by":"publisher","award":["DMS-1500966"],"award-info":[{"award-number":["DMS-1500966"]}],"id":[{"id":"10.13039\/100000001","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100000893","name":"Simons Foundation","doi-asserted-by":"publisher","id":[{"id":"10.13039\/100000893","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Appl. Algebra Geometry"],"published-print":{"date-parts":[[2019,1]]},"DOI":"10.1137\/17m1160148","type":"journal-article","created":{"date-parts":[[2019,5,14]],"date-time":"2019-05-14T10:18:47Z","timestamp":1557829127000},"page":"292-336","source":"Crossref","is-referenced-by-count":58,"title":["Khovanskii Bases, Higher Rank Valuations, and Tropical Geometry"],"prefix":"10.1137","volume":"3","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7251-732X","authenticated-orcid":true,"given":"Kiumars","family":"Kaveh","sequence":"first","affiliation":[]},{"given":"Christopher","family":"Manon","sequence":"additional","affiliation":[]}],"member":"351","published-online":{"date-parts":[[2019,5,14]]},"reference":[{"key":"atypb1","first-page":"453","volume":"10","author":"Alexeev V.","year":"2004","journal-title":"S.)"},{"key":"atypb2","doi-asserted-by":"publisher","DOI":"10.1093\/imrn\/rns286"},{"key":"atypb3","doi-asserted-by":"publisher","DOI":"10.1007\/s00208-012-0880-3"},{"key":"atypb7","first-page":"93","author":"Baker M.","year":"2013","journal-title":"RI"},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2006.12.022"},{"key":"atypb9","doi-asserted-by":"publisher","DOI":"10.1007\/BF01253464"},{"key":"atypb14","doi-asserted-by":"publisher","DOI":"10.1007\/s00031-016-9389-2"},{"key":"atypb15","doi-asserted-by":"publisher","DOI":"10.1007\/s00229-016-0841-3"},{"key":"atypb16","doi-asserted-by":"publisher","DOI":"10.1090\/jams\/890"},{"key":"atypb17","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1995.1017"},{"key":"atypb19","doi-asserted-by":"publisher","DOI":"10.1093\/qmath\/7.1.57"},{"key":"atypb20","doi-asserted-by":"publisher","DOI":"10.1016\/j.aim.2016.02.022"},{"key":"atypb21","doi-asserted-by":"publisher","DOI":"10.2307\/1970486"},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.2307\/1970547"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1090\/S1056-3911-06-00445-0"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.1006\/jsco.1998.0239"},{"key":"atypb28","doi-asserted-by":"publisher","DOI":"10.1307\/mmj\/1114021088"},{"key":"atypb29","doi-asserted-by":"publisher","DOI":"10.1215\/00127094-3146389"},{"key":"atypb30","doi-asserted-by":"publisher","DOI":"10.17323\/1609-4514-2010-10-2-343-375"},{"key":"atypb31","doi-asserted-by":"publisher","DOI":"10.4007\/annals.2012.176.2.5"},{"key":"atypb32","first-page":"263","author":"Kaveh K.","year":"2012","journal-title":"New York"},{"key":"atypb36","doi-asserted-by":"publisher","DOI":"10.24033\/asens.2109"},{"key":"atypb37","doi-asserted-by":"publisher","DOI":"10.1090\/S0894-0347-1990-1035415-6"},{"key":"atypb39","doi-asserted-by":"publisher","DOI":"10.1090\/tran\/6698"},{"key":"atypb40","doi-asserted-by":"publisher","DOI":"10.4153\/CJM-2016-042-0"},{"key":"atypb43","doi-asserted-by":"publisher","DOI":"10.1016\/j.jalgebra.2013.11.006"},{"key":"atypb44","first-page":"329","author":"Okounkov A.","year":"2003","journal-title":"MA"},{"key":"atypb45","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.2009.v16.n3.a13"},{"key":"atypb46","doi-asserted-by":"publisher","DOI":"10.1070\/SM1987v058n02ABEH003106"},{"key":"atypb47","first-page":"61","author":"Robbiano L.","year":"1990","journal-title":"Berlin"},{"key":"atypb49","doi-asserted-by":"publisher","DOI":"10.1007\/s13366-016-0295-5"},{"key":"atypb50","doi-asserted-by":"publisher","DOI":"10.1515\/advg.2004.023"},{"key":"atypb51","doi-asserted-by":"publisher","DOI":"10.4310\/MRL.2008.v15.n3.a14"},{"key":"atypb54","first-page":"361","author":"Teissier B.","year":"2003","journal-title":"RI"},{"key":"atypb55","doi-asserted-by":"publisher","DOI":"10.1353\/ajm.2007.0029"}],"container-title":["SIAM Journal on Applied Algebra and Geometry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/17M1160148","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T14:55:44Z","timestamp":1558450544000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/17M1160148"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,1]]},"references-count":35,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2019,4,2]]},"published-print":{"date-parts":[[2019,1]]}},"alternative-id":["10.1137\/17M1160148"],"URL":"https:\/\/doi.org\/10.1137\/17m1160148","relation":{},"ISSN":["2470-6566"],"issn-type":[{"value":"2470-6566","type":"electronic"}],"subject":[],"published":{"date-parts":[[2019,1]]}}}