代数相关性的传播及其应用

IF 0.5 3区数学 Q3 MATHEMATICS

Analysis Mathematica Pub Date : 2025-06-04 DOI:10.1007/s10476-025-00085-6

M. Liu, X. Dong

{"title":"代数相关性的传播及其应用","authors":"M. Liu, X. Dong","doi":"10.1007/s10476-025-00085-6","DOIUrl":null,"url":null,"abstract":"<div><p>We establish a criteria for the propagation of algebraic dependence of a set of differentiably non-degenerate meromorphic mappings from a complete and stochastically complete Kähler manifold <i>M</i> into a complex projective manifold, based on certain diffusion method. As its applications, we also consider the unicity problems for differentiably non-degenerate meromorphic mappings of <i>M</i> into a complex projective space in Nevanlinna theory. \n</p></div>","PeriodicalId":55518,"journal":{"name":"Analysis Mathematica","volume":"51 2","pages":"559 - 575"},"PeriodicalIF":0.5000,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Propagation of algebraic dependence and its applications\",\"authors\":\"M. Liu, X. Dong\",\"doi\":\"10.1007/s10476-025-00085-6\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We establish a criteria for the propagation of algebraic dependence of a set of differentiably non-degenerate meromorphic mappings from a complete and stochastically complete Kähler manifold <i>M</i> into a complex projective manifold, based on certain diffusion method. As its applications, we also consider the unicity problems for differentiably non-degenerate meromorphic mappings of <i>M</i> into a complex projective space in Nevanlinna theory. \\n</p></div>\",\"PeriodicalId\":55518,\"journal\":{\"name\":\"Analysis Mathematica\",\"volume\":\"51 2\",\"pages\":\"559 - 575\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-06-04\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Analysis Mathematica\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s10476-025-00085-6\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Analysis Mathematica","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s10476-025-00085-6","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

基于一定的扩散方法，建立了从完全和随机完全Kähler流形M到复射影流形的一组可微非退化亚纯映射的代数依赖传播的判据。作为它的应用，我们也考虑了Nevanlinna理论中M到复射影空间的可微非退化亚纯映射的唯一性问题。

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

Propagation of algebraic dependence and its applications

We establish a criteria for the propagation of algebraic dependence of a set of differentiably non-degenerate meromorphic mappings from a complete and stochastically complete Kähler manifold M into a complex projective manifold, based on certain diffusion method. As its applications, we also consider the unicity problems for differentiably non-degenerate meromorphic mappings of M into a complex projective space in Nevanlinna theory.

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

Analysis Mathematica MATHEMATICS-

CiteScore

1.00

自引率

14.30%

发文量

审稿时长

>12 weeks

期刊介绍： Traditionally the emphasis of Analysis Mathematica is classical analysis, including real functions (MSC 2010: 26xx), measure and integration (28xx), functions of a complex variable (30xx), special functions (33xx), sequences, series, summability (40xx), approximations and expansions (41xx). The scope also includes potential theory (31xx), several complex variables and analytic spaces (32xx), harmonic analysis on Euclidean spaces (42xx), abstract harmonic analysis (43xx). The journal willingly considers papers in difference and functional equations (39xx), functional analysis (46xx), operator theory (47xx), analysis on topological groups and metric spaces, matrix analysis, discrete versions of topics in analysis, convex and geometric analysis and the interplay between geometry and analysis.