交换巴拿赫代数上的有限维复流形与紧复流形的连续族

IF 0.5 Q3 MATHEMATICS Complex Manifolds Pub Date : 2018-08-24 DOI:10.1515/coma-2019-0012

Hiroki Yagisita

{"title":"交换巴拿赫代数上的有限维复流形与紧复流形的连续族","authors":"Hiroki Yagisita","doi":"10.1515/coma-2019-0012","DOIUrl":null,"url":null,"abstract":"Abstract Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M). Especially, if X is contractible, then Γ(M) is a finite-dimensional C(X)-manifold. Here, C(X) denotes the Banach algebra of all complex-valued continuous functions on X.","PeriodicalId":42393,"journal":{"name":"Complex Manifolds","volume":"6 1","pages":"228 - 264"},"PeriodicalIF":0.5000,"publicationDate":"2018-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1515/coma-2019-0012","citationCount":"7","resultStr":"{\"title\":\"Finite-dimensional complex manifolds on commutative Banach algebras and continuous families of compact complex manifolds\",\"authors\":\"Hiroki Yagisita\",\"doi\":\"10.1515/coma-2019-0012\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Abstract Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M). Especially, if X is contractible, then Γ(M) is a finite-dimensional C(X)-manifold. Here, C(X) denotes the Banach algebra of all complex-valued continuous functions on X.\",\"PeriodicalId\":42393,\"journal\":{\"name\":\"Complex Manifolds\",\"volume\":\"6 1\",\"pages\":\"228 - 264\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2018-08-24\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1515/coma-2019-0012\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Complex Manifolds\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1515/coma-2019-0012\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Complex Manifolds","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/coma-2019-0012","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 7

摘要

摘要设Γ(M)为紧致Hausdorff空间X上紧致复流形连续族M的所有全局连续截面的集合。本文在Γ(M)上引入了一个C(X)-流形结构。特别地，如果X是可压缩的，则Γ(M)是一个有限维C(X)流形。这里，C(X)表示X上所有复值连续函数的Banach代数。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Finite-dimensional complex manifolds on commutative Banach algebras and continuous families of compact complex manifolds

Abstract Let Γ(M) be the set of all global continuous cross sections of a continuous family M of compact complex manifolds on a compact Hausdorff space X. In this paper, we introduce a C(X)-manifold structure on Γ(M). Especially, if X is contractible, then Γ(M) is a finite-dimensional C(X)-manifold. Here, C(X) denotes the Banach algebra of all complex-valued continuous functions on X.

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

Complex Manifolds MATHEMATICS-

CiteScore

1.30

自引率

20.00%

发文量

审稿时长

25 weeks

期刊介绍： Complex Manifolds is devoted to the publication of results on these and related topics: Hermitian geometry, Kähler and hyperkähler geometry Calabi-Yau metrics, PDE''s on complex manifolds Generalized complex geometry Deformations of complex structures Twistor theory Geometric flows on complex manifolds Almost complex geometry Quaternionic geometry Geometric theory of analytic functions Holomorphic dynamics Several complex variables Dolbeault cohomology CR geometry.

期刊最新文献

Towards the cosymplectic topology Quot schemes and Fourier-Mukai transformation Chow transformation of coherent sheaves On the algebra generated by μ ¯ , ∂ ¯ , ∂ , μ \overline{\mu },\overline{\partial },\partial ,\mu Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds