{"title":"Essential skeletons of pairs and Temkin’s metric","authors":"Mirko Mauri, Enrica Mazzon, Matthew Stevenson","doi":"10.1007/s11565-024-00504-w","DOIUrl":null,"url":null,"abstract":"<div><p>We study weight metrics and essential skeletons of pairs in the Berkovich analytification of a variety over a trivially-valued field of characteristic zero. In the smooth case, we show that Temkin’s canonical metric on pluricanonical bundles coincides with the weight metric defined via log discrepancies.</p></div>","PeriodicalId":35009,"journal":{"name":"Annali dell''Universita di Ferrara","volume":"70 3","pages":"839 - 857"},"PeriodicalIF":0.0000,"publicationDate":"2024-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annali dell''Universita di Ferrara","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s11565-024-00504-w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 0
Abstract
We study weight metrics and essential skeletons of pairs in the Berkovich analytification of a variety over a trivially-valued field of characteristic zero. In the smooth case, we show that Temkin’s canonical metric on pluricanonical bundles coincides with the weight metric defined via log discrepancies.
期刊介绍：
Annali dell''Università di Ferrara is a general mathematical journal publishing high quality papers in all aspects of pure and applied mathematics. After a quick preliminary examination, potentially acceptable contributions will be judged by appropriate international referees. Original research papers are preferred, but well-written surveys on important subjects are also welcome.
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