Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration

Pub Date : 2020-11-02 DOI:10.1215/21562261-10607345
T. Fujisawa
{"title":"Limiting mixed Hodge structures on the relative log de Rham cohomology groups of a projective semistable log smooth degeneration","authors":"T. Fujisawa","doi":"10.1215/21562261-10607345","DOIUrl":null,"url":null,"abstract":"We prove that the relative log de Rham cohomology groups of a projective semistable log smooth degeneration admit a natural \\textit{limiting} mixed Hodge structure. More precisely, we construct a family of increasing filtrations and a family of nilpotent endomorphisms on the relative log de Rham cohomology groups and show that they satisfy a part of good properties of a nilpotnet orbit in several variables.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-11-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1215/21562261-10607345","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3

Abstract

We prove that the relative log de Rham cohomology groups of a projective semistable log smooth degeneration admit a natural \textit{limiting} mixed Hodge structure. More precisely, we construct a family of increasing filtrations and a family of nilpotent endomorphisms on the relative log de Rham cohomology groups and show that they satisfy a part of good properties of a nilpotnet orbit in several variables.
分享
查看原文
投影半稳定对数光滑退化的相对log-de-Ram上同调群上的极限混合Hodge结构
我们证明了投影半稳定对数光滑退化的相对log-de-Ram上同调群承认一个自然的{textit{limiting}混合Hodge结构。更确切地说,我们在相对log de Rham上同调群上构造了一个增加滤子族和一个幂零自同态族,并证明它们在几个变量中满足幂零网轨道的一部分好性质。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信