{"title":"数域的普遍二次型和不可分解型:综述","authors":"V. Kala","doi":"10.46298/cm.10896","DOIUrl":null,"url":null,"abstract":"We give an overview of universal quadratic forms and lattices, focusing on\nthe recent developments over the rings of integers in totally real number\nfields. In particular, we discuss indecomposable algebraic integers as one of\nthe main tools.","PeriodicalId":37836,"journal":{"name":"Communications in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2023-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Universal quadratic forms and indecomposables in number fields: A survey\",\"authors\":\"V. Kala\",\"doi\":\"10.46298/cm.10896\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We give an overview of universal quadratic forms and lattices, focusing on\\nthe recent developments over the rings of integers in totally real number\\nfields. In particular, we discuss indecomposable algebraic integers as one of\\nthe main tools.\",\"PeriodicalId\":37836,\"journal\":{\"name\":\"Communications in Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2023-01-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.46298/cm.10896\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.46298/cm.10896","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"Mathematics","Score":null,"Total":0}
Universal quadratic forms and indecomposables in number fields: A survey
We give an overview of universal quadratic forms and lattices, focusing on
the recent developments over the rings of integers in totally real number
fields. In particular, we discuss indecomposable algebraic integers as one of
the main tools.
期刊介绍:
Communications in Mathematics publishes research and survey papers in all areas of pure and applied mathematics. To be acceptable for publication, the paper must be significant, original and correct. High quality review papers of interest to a wide range of scientists in mathematics and its applications are equally welcome.