{"title":"Uniform Skoda integrability and Calabi–Yau degeneration","authors":"Yang Li","doi":"10.2140/apde.2024.17.2247","DOIUrl":null,"url":null,"abstract":"<p>We study polarised algebraic degenerations of Calabi–Yau manifolds. We prove a uniform Skoda-type estimate and a uniform <math display=\"inline\" xmlns=\"http://www.w3.org/1998/Math/MathML\"><msup><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msup></math>-estimate for the Calabi–Yau Kähler potentials. </p>","PeriodicalId":49277,"journal":{"name":"Analysis & PDE","volume":"4 1","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis & PDE","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2140/apde.2024.17.2247","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
We study polarised algebraic degenerations of Calabi–Yau manifolds. We prove a uniform Skoda-type estimate and a uniform -estimate for the Calabi–Yau Kähler potentials.
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