{"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}
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Abstract
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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