{"title":"部分估算的一些改进","authors":"Kewei Zhang","doi":"10.2140/apde.2021.14.2307","DOIUrl":null,"url":null,"abstract":"Relying on the recent work of Liu-Szekelyhidi we give a weak asymptotic estimate for the Bergman kernels of polarized Kahler manifolds with Ricci lower bound and Sobolev constant upper bound. We will also give a simple proof for the partial $C^0$ estimate along the (generalized) Kahler-Ricci flow on Fano manifolds.","PeriodicalId":49277,"journal":{"name":"Analysis & PDE","volume":" ","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2019-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"7","resultStr":"{\"title\":\"Some refinements of the partial C0\\nestimate\",\"authors\":\"Kewei Zhang\",\"doi\":\"10.2140/apde.2021.14.2307\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Relying on the recent work of Liu-Szekelyhidi we give a weak asymptotic estimate for the Bergman kernels of polarized Kahler manifolds with Ricci lower bound and Sobolev constant upper bound. We will also give a simple proof for the partial $C^0$ estimate along the (generalized) Kahler-Ricci flow on Fano manifolds.\",\"PeriodicalId\":49277,\"journal\":{\"name\":\"Analysis & PDE\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2019-11-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis & PDE\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.2140/apde.2021.14.2307\",\"RegionNum\":1,\"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":"Analysis & PDE","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2140/apde.2021.14.2307","RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
Relying on the recent work of Liu-Szekelyhidi we give a weak asymptotic estimate for the Bergman kernels of polarized Kahler manifolds with Ricci lower bound and Sobolev constant upper bound. We will also give a simple proof for the partial $C^0$ estimate along the (generalized) Kahler-Ricci flow on Fano manifolds.
期刊介绍：
APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
