p矢Tate扭曲和de Rham-Witt形式上的p-典型曲线

IF 1.5 1区数学 Q1 MATHEMATICS

Advances in Mathematics Pub Date : 2025-07-25 DOI:10.1016/j.aim.2025.110448

Sanath K. Devalapurkar, Shubhodip Mondal

{"title":"p矢Tate扭曲和de Rham-Witt形式上的p-典型曲线","authors":"Sanath K. Devalapurkar, Shubhodip Mondal","doi":"10.1016/j.aim.2025.110448","DOIUrl":null,"url":null,"abstract":"<div><div>We show that de Rham–Witt forms are naturally isomorphic to <em>p</em>-typical curves on <em>p</em>-adic Tate twists, which revisits a question of Artin–Mazur from 1977 pursued in the earlier work of Bloch and Kato. We show this more generally by refining a result of Hesselholt on topological cyclic homology with the motivic filtrations introduced by Bhatt–Morrow–Scholze.</div></div>","PeriodicalId":50860,"journal":{"name":"Advances in Mathematics","volume":"479 ","pages":"Article 110448"},"PeriodicalIF":1.5000,"publicationDate":"2025-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"p-typical curves on p-adic Tate twists and de Rham–Witt forms\",\"authors\":\"Sanath K. Devalapurkar, Shubhodip Mondal\",\"doi\":\"10.1016/j.aim.2025.110448\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We show that de Rham–Witt forms are naturally isomorphic to <em>p</em>-typical curves on <em>p</em>-adic Tate twists, which revisits a question of Artin–Mazur from 1977 pursued in the earlier work of Bloch and Kato. We show this more generally by refining a result of Hesselholt on topological cyclic homology with the motivic filtrations introduced by Bhatt–Morrow–Scholze.</div></div>\",\"PeriodicalId\":50860,\"journal\":{\"name\":\"Advances in Mathematics\",\"volume\":\"479 \",\"pages\":\"Article 110448\"},\"PeriodicalIF\":1.5000,\"publicationDate\":\"2025-07-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Advances in Mathematics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0001870825003469\",\"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":"Advances in Mathematics","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0001870825003469","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

摘要

我们证明了de Rham-Witt形式与p进Tate扭曲上的p-典型曲线是自然同构的，这重新审视了1977年Artin-Mazur在Bloch和Kato的早期工作中所追求的问题。我们用bhat - morrow - scholze引入的动机过滤来改进Hesselholt关于拓扑循环同调的结果，从而更普遍地证明了这一点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

p-typical curves on p-adic Tate twists and de Rham–Witt forms

We show that de Rham–Witt forms are naturally isomorphic to p-typical curves on p-adic Tate twists, which revisits a question of Artin–Mazur from 1977 pursued in the earlier work of Bloch and Kato. We show this more generally by refining a result of Hesselholt on topological cyclic homology with the motivic filtrations introduced by Bhatt–Morrow–Scholze.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Advances in Mathematics 数学-数学

CiteScore

2.80

自引率

5.90%

发文量

497

审稿时长

7.5 months

期刊介绍： Emphasizing contributions that represent significant advances in all areas of pure mathematics, Advances in Mathematics provides research mathematicians with an effective medium for communicating important recent developments in their areas of specialization to colleagues and to scientists in related disciplines.