{"title":"一些henselian值域的剩余域支配","authors":"Clifton Ealy, Deirdre Haskell, Pierre Simon","doi":"10.2140/mt.2023.2.255","DOIUrl":null,"url":null,"abstract":"We generalize previous results about stable domination and residue field domination to henselian valued fields of equicharacteristic 0 with bounded Galois group, and we provide an alternate characterization of stable domination in algebraically closed valued fields for types over parameters in the field sort.","PeriodicalId":21757,"journal":{"name":"Simul. Model. Pract. Theory","volume":"86 6","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Residue field domination in some henselian valued fields\",\"authors\":\"Clifton Ealy, Deirdre Haskell, Pierre Simon\",\"doi\":\"10.2140/mt.2023.2.255\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We generalize previous results about stable domination and residue field domination to henselian valued fields of equicharacteristic 0 with bounded Galois group, and we provide an alternate characterization of stable domination in algebraically closed valued fields for types over parameters in the field sort.\",\"PeriodicalId\":21757,\"journal\":{\"name\":\"Simul. Model. Pract. Theory\",\"volume\":\"86 6\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-10-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Simul. Model. Pract. Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.2140/mt.2023.2.255\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Simul. Model. Pract. Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.2140/mt.2023.2.255","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Residue field domination in some henselian valued fields
We generalize previous results about stable domination and residue field domination to henselian valued fields of equicharacteristic 0 with bounded Galois group, and we provide an alternate characterization of stable domination in algebraically closed valued fields for types over parameters in the field sort.