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Relative singularity categories II 相对奇异性类别II
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-10-01 DOI: 10.2996/kmj/1605063623
Huanhuan Li, Zhaoyong Huang
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引用次数: 1
Canonical coordinates and natural equations for minimal time-like surfaces in $mathbf{R}^4_2$ $mathbf{R}^4_2$中最小类时曲面的正则坐标和自然方程
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-10-01 DOI: 10.2996/kmj/1605063628
G. Ganchev, Krasimir Kanchev
{"title":"Canonical coordinates and natural equations for minimal time-like surfaces in $mathbf{R}^4_2$","authors":"G. Ganchev, Krasimir Kanchev","doi":"10.2996/kmj/1605063628","DOIUrl":"https://doi.org/10.2996/kmj/1605063628","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48785272","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Local cohomology and local homology complexes with respect to a pair of ideals 关于一对理想的局部上同和局部上同复
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-10-01 DOI: 10.2996/kmj/1605063624
Jinlan Li, Xiaoyan Yang
{"title":"Local cohomology and local homology complexes with respect to a pair of ideals","authors":"Jinlan Li, Xiaoyan Yang","doi":"10.2996/kmj/1605063624","DOIUrl":"https://doi.org/10.2996/kmj/1605063624","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42890602","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The classification of thick representations of simple Lie groups 单李群的厚表示分类
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-08-28 DOI: 10.2996/kmj45204
K. Nakamoto, Yasuhiro Omoda
{"title":"The classification of thick representations of simple Lie groups","authors":"K. Nakamoto, Yasuhiro Omoda","doi":"10.2996/kmj45204","DOIUrl":"https://doi.org/10.2996/kmj45204","url":null,"abstract":"We characterize finite-dimensional thick representations over ${Bbb C}$ of connected complex semi-simple Lie groups by irreducible representations which are weight multiplicity-free and whose weight posets are totally ordered sets. Moreover, using this characterization, we give the classification of thick representations over ${Bbb C}$ of connected complex simple Lie groups.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45425808","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Gradient estimates for weighted $p$-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds 具有Sobolev不等式和积分Ricci界的黎曼流形上加权$p$-Laplace方程的梯度估计
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-07-29 DOI: 10.2996/kmj/kmj45102
L. Dai, N. Dung, Nguyen Dang Tuyen, Liang-cai Zhao
{"title":"Gradient estimates for weighted $p$-Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds","authors":"L. Dai, N. Dung, Nguyen Dang Tuyen, Liang-cai Zhao","doi":"10.2996/kmj/kmj45102","DOIUrl":"https://doi.org/10.2996/kmj/kmj45102","url":null,"abstract":"In this paper, we consider the non-linear general $p$-Laplacian equation $Delta_{p,f}u+F(u)=0$ for a smooth function $F$ on smooth metric measure spaces. Assume that a Sobolev inequality holds true on $M$ and an integral Ricci curvature is small, we first prove a local gradient estimate for the equation. Then, as its applications, we prove several Liouville type results on manifolds with lower bounds of Ricci curvature. We also derive new local gradient estimates provided that the integral Ricci curvature is small enough.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43626175","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On the normalized Ricci flow with scalar curvature converging to constant 关于标量曲率收敛为常数的归一化Ricci流
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-06-30 DOI: 10.2996/kmj/1594313554
Chanyoung Sung
{"title":"On the normalized Ricci flow with scalar curvature converging to constant","authors":"Chanyoung Sung","doi":"10.2996/kmj/1594313554","DOIUrl":"https://doi.org/10.2996/kmj/1594313554","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49046978","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Contact 3-manifolds and $*$-Ricci soliton 接触3流形和里奇孤子
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2996/kmj/1594313553
Yaning Wang
{"title":"Contact 3-manifolds and $*$-Ricci soliton","authors":"Yaning Wang","doi":"10.2996/kmj/1594313553","DOIUrl":"https://doi.org/10.2996/kmj/1594313553","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42706535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 17
Integral closure of bipartite graph ideals 二部图理想的积分闭包
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-06-01 DOI: 10.2996/kmj/1594313552
Maurizio Imbesi, M. Barbiera
{"title":"Integral closure of bipartite graph ideals","authors":"Maurizio Imbesi, M. Barbiera","doi":"10.2996/kmj/1594313552","DOIUrl":"https://doi.org/10.2996/kmj/1594313552","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44054684","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A note on highly Kummer-faithful fields 关于高度忠于库默人的领域的注释
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-05-28 DOI: 10.2996/kmj/kmj45104
Yoshiyasu Ozeki, Y. Taguchi
{"title":"A note on highly Kummer-faithful fields","authors":"Yoshiyasu Ozeki, Y. Taguchi","doi":"10.2996/kmj/kmj45104","DOIUrl":"https://doi.org/10.2996/kmj/kmj45104","url":null,"abstract":"We introduce a notion of highly Kummer-faithful fields and study its relationship with the notion of Kummer-faithful fields. We also give some examples of highly Kummer-faithful fields. For example, if $k$ is a number field of finite degree over $mathbb{Q}$, $g$ is an integer $>0$ and $mathbf{m}=(m_p)_p$ is a family of non-negative integers, where $p$ ranges over all prime numbers, then the extension field $k_{g,mathbf{m}}$ obtained by adjoining to $k$ all coordinates of the elements of the $p^{m_p}$-torsion subgroup $A[p^{m_p}]$ of $A$ for all semi-abelian varieties $A$ over $k$ of dimension at most $g$ and all prime numbers $p$, is highly Kummer-faithful.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46759626","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 3
Knots with infinitely many non-characterizing slopes 具有无限多个非特征斜率的结
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2020-03-16 DOI: 10.2996/kmj/kmj44301
Tetsuya Abe, Keiji Tagami
{"title":"Knots with infinitely many non-characterizing slopes","authors":"Tetsuya Abe, Keiji Tagami","doi":"10.2996/kmj/kmj44301","DOIUrl":"https://doi.org/10.2996/kmj/kmj44301","url":null,"abstract":"Using the techniques on annulus twists, we observe that $6_3$ has infinitely many non-characterizing slopes, which affirmatively answers a question by Baker and Motegi. Furthermore, we prove that the knots $6_2$, $6_3$, $7_6$, $7_7$, $8_1$, $8_3$, $8_4$, $8_6$, $8_7$, $8_9$, $8_{10}$, $8_{11}$, $8_{12}$, $8_{13}$, $8_{14}$, $8_{17}$,$8_{20}$ and $8_{21}$ have infinitely many non-characterizing slopes. We also introduce the notion of trivial annulus twists and give some possible applications. Finally, we completely determine which knots have special annulus presentations up to 8-crossings.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2020-03-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43782983","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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