{"title":"通过绝对复杂性确定法诺型变种和投影空间的特征","authors":"Dae-Won Lee","doi":"10.1007/s00229-023-01526-y","DOIUrl":null,"url":null,"abstract":"<p>In this paper, we obtain several characterizations of varieties of Fano type and projective spaces via absolute complexity. Also, we show that if the absolute complexity of a given pair <span>\\((X,\\Delta )\\)</span> is negative, then the pair <span>\\((X,\\Delta )\\)</span> does not admit any <span>\\(-(K_X+\\Delta )\\)</span>-minimal models.</p>","PeriodicalId":49887,"journal":{"name":"Manuscripta Mathematica","volume":"79 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2024-01-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Characterizations of Fano type varieties and projective spaces via absolute complexity\",\"authors\":\"Dae-Won Lee\",\"doi\":\"10.1007/s00229-023-01526-y\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>In this paper, we obtain several characterizations of varieties of Fano type and projective spaces via absolute complexity. Also, we show that if the absolute complexity of a given pair <span>\\\\((X,\\\\Delta )\\\\)</span> is negative, then the pair <span>\\\\((X,\\\\Delta )\\\\)</span> does not admit any <span>\\\\(-(K_X+\\\\Delta )\\\\)</span>-minimal models.</p>\",\"PeriodicalId\":49887,\"journal\":{\"name\":\"Manuscripta Mathematica\",\"volume\":\"79 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-01-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Manuscripta Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1007/s00229-023-01526-y\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Manuscripta Mathematica","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1007/s00229-023-01526-y","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
Characterizations of Fano type varieties and projective spaces via absolute complexity
In this paper, we obtain several characterizations of varieties of Fano type and projective spaces via absolute complexity. Also, we show that if the absolute complexity of a given pair \((X,\Delta )\) is negative, then the pair \((X,\Delta )\) does not admit any \(-(K_X+\Delta )\)-minimal models.
期刊介绍：
manuscripta mathematica was founded in 1969 to provide a forum for the rapid communication of advances in mathematical research. Edited by an international board whose members represent a wide spectrum of research interests, manuscripta mathematica is now recognized as a leading source of information on the latest mathematical results.
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