{"title":"关于奇异三次曲面的饱和数","authors":"Wang, Yuchao, Yao, Weili","doi":"10.1007/s11425-023-2227-9","DOIUrl":null,"url":null,"abstract":"We investigate the distribution of rational points on singular cubic surfaces, whose coordinates have few prime factors. The key tools used are universal torsors, the circle method and results on linear equations in primes.","PeriodicalId":54444,"journal":{"name":"Science China-Mathematics","volume":null,"pages":null},"PeriodicalIF":1.4000,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"title\":\"On the saturation number for singular cubic surfaces\",\"authors\":\"Wang, Yuchao, Yao, Weili\",\"doi\":\"10.1007/s11425-023-2227-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the distribution of rational points on singular cubic surfaces, whose coordinates have few prime factors. The key tools used are universal torsors, the circle method and results on linear equations in primes.\",\"PeriodicalId\":54444,\"journal\":{\"name\":\"Science China-Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":1.4000,\"publicationDate\":\"2023-10-30\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Science China-Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s11425-023-2227-9\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Science China-Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s11425-023-2227-9","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the saturation number for singular cubic surfaces
We investigate the distribution of rational points on singular cubic surfaces, whose coordinates have few prime factors. The key tools used are universal torsors, the circle method and results on linear equations in primes.
期刊介绍：
Science China Mathematics is committed to publishing high-quality, original results in both basic and applied research. It presents reviews that summarize representative results and achievements in a particular topic or an area, comment on the current state of research, or advise on research directions. In addition, the journal features research papers that report on important original results in all areas of mathematics as well as brief reports that present information in a timely manner on the latest important results.
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