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A mass transportation proof of the sharp one-dimensional Gagliardo–Nirenberg inequalities 一维加利亚多-尼伦堡不等式的大规模运输证明
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-11-01 DOI: 10.2969/jmsj/82258225
V. H. Nguyen
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引用次数: 1
Extremal trigonal fibrations on rational surfaces 有理表面上的极端三角颤动
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-11-01 DOI: 10.2969/jmsj/82438243
C. Gong, S. Kitagawa, Jun Lu
{"title":"Extremal trigonal fibrations on rational surfaces","authors":"C. Gong, S. Kitagawa, Jun Lu","doi":"10.2969/jmsj/82438243","DOIUrl":"https://doi.org/10.2969/jmsj/82438243","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":"1 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41402088","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
On the first eigenvalue of the Laplacian on compact surfaces of genus three 关于亏格三的紧致曲面上拉普拉斯算子的第一特征值
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-28 DOI: 10.2969/jmsj/85898589
A. Ros
{"title":"On the first eigenvalue of the Laplacian on compact surfaces of genus three","authors":"A. Ros","doi":"10.2969/jmsj/85898589","DOIUrl":"https://doi.org/10.2969/jmsj/85898589","url":null,"abstract":"For any compact riemannian surface of genus three $(Sigma,ds^2)$ Yang and Yau proved that the product of the first eigenvalue of the Laplacian $lambda_1(ds^2)$ and the area $Area(ds^2)$ is bounded above by $24pi$. In this paper we improve the result and we show that $lambda_1(ds^2)Area(ds^2)leq16(4-sqrt{7})pi approx 21.668,pi$. About the sharpness of the bound, for the hyperbolic Klein quartic surface numerical computations give the value $approx 21.414,pi$.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45167362","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: 10
Systolic inequalities, Ginzburg dg algebras and Milnor fibers 收缩不等式、Ginzburg-dg代数和Milnor纤维
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-05 DOI: 10.2969/jmsj/85878587
Jongmyeong Kim
{"title":"Systolic inequalities, Ginzburg dg algebras and Milnor fibers","authors":"Jongmyeong Kim","doi":"10.2969/jmsj/85878587","DOIUrl":"https://doi.org/10.2969/jmsj/85878587","url":null,"abstract":"We prove categorical systolic inequalities for the derived categories of 2-Calabi-Yau Ginzburg dg algebras associated to ADE quivers and explore their symplecto-geometric aspects.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-10-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47069698","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
Trivializing group actions on braided crossed tensor categories and graded braided tensor categories 编织交叉张量范畴和渐变编织张量范畴上群作用的琐碎化
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-02 DOI: 10.2969/jmsj/85768576
César Galindo
{"title":"Trivializing group actions on braided crossed tensor categories and graded braided tensor categories","authors":"César Galindo","doi":"10.2969/jmsj/85768576","DOIUrl":"https://doi.org/10.2969/jmsj/85768576","url":null,"abstract":"For an abelian group $ A $, we study a close connection between braided crossed $ A $-categories with a trivialization of the $ A $-action and $ A $-graded braided tensor categories. Additionally, we prove that the obstruction to the existence of a trivialization of a categorical group action $T$ on a monoidal category $mathcal{C}$ is given by an element $O(T)in H^2(G,operatorname{Aut}_otimes(operatorname{Id}_{mathcal{C}}))$. In the case that $O(T)=0$, the set of obstructions form a torsor over $operatorname{Hom}(G,operatorname{Aut}_otimes(operatorname{Id}_{mathcal{C}}))$, where $operatorname{Aut}_otimes(operatorname{Id}_{mathcal{C}})$ is the abelian group of tensor natural automorphisms of the identity. \u0000The cohomological interpretation of trivializations, together with the homotopical classification of (faithfully graded) braided $A$-crossed tensor categories developed in arXiv:0909.3140, allows us to provide a method for the construction of faithfully $A$-graded braided tensor categories. We work out two examples. First, we compute the obstruction to the existence of trivializations for the braided crossed category associated with a pointed semisimple tensor category. In the second example, we compute explicit formulas for the braided $mathbb{Z}/2$-crossed structures over Tambara-Yamagami fusion categories and, consequently, a conceptual interpretation of the results in arXiv:math/0011037 about the classification of braidings over Tambara-Yamagami categories.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-10-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43538658","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: 2
Poincaré inequalities with exact missing terms on homogeneous groups 齐次群上精确缺项的poincarcars不等式
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-01 DOI: 10.2969/jmsj/83738373
T. Ozawa, D. Suragan
{"title":"Poincaré inequalities with exact missing terms on homogeneous groups","authors":"T. Ozawa, D. Suragan","doi":"10.2969/jmsj/83738373","DOIUrl":"https://doi.org/10.2969/jmsj/83738373","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47752995","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: 2
Linking forms, finite orthogonal groups and periodicity of links 链接形式、有限正交群和链接的周期性
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-01 DOI: 10.2969/jmsj/82028202
Maciej Borodzik, Przemysław Grabowski, A. Krol, Maria Marchwicka
{"title":"Linking forms, finite orthogonal groups and periodicity of links","authors":"Maciej Borodzik, Przemysław Grabowski, A. Krol, Maria Marchwicka","doi":"10.2969/jmsj/82028202","DOIUrl":"https://doi.org/10.2969/jmsj/82028202","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":"72 1","pages":"1025-1048"},"PeriodicalIF":0.7,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47421757","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
Wild Cantor actions 野康托动作
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-01 DOI: 10.2969/JMSJ/85748574
J. '. L'opez, Ram'on Barral Lij'o, O. Lukina, Hiraku Nozawa
{"title":"Wild Cantor actions","authors":"J. '. L'opez, Ram'on Barral Lij'o, O. Lukina, Hiraku Nozawa","doi":"10.2969/JMSJ/85748574","DOIUrl":"https://doi.org/10.2969/JMSJ/85748574","url":null,"abstract":"The discriminant group of a minimal equicontinuous action of a group $G$ on a Cantor set $X$ is the subgroup of the closure of the action in the group of homeomorphisms of $X$, consisting of homeomorphisms which fix a given point. The stabilizer and the centralizer groups associated to the action are obtained as direct limits of sequences of subgroups of the discriminant group with certain properties. Minimal equicontinuous group actions on Cantor sets admit a classification by the properties of the stabilizer and centralizer direct limit groups. \u0000In this paper, we construct new families of examples of minimal equicontinuous actions on Cantor sets, which illustrate certain aspects of this classification. These examples are constructed as actions on rooted trees. The acting groups are countable subgroups of the product or of the wreath product of groups. We discuss applications of our results to the study of attractors of dynamical systems and of minimal sets of foliations.","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46988360","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
Construction of spectra of triangulated categories and applications to commutative rings 三角范畴谱的构造及其在交换环中的应用
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-01 DOI: 10.2969/jmsj/82868286
H. Matsui, Ryo Takahashi
{"title":"Construction of spectra of triangulated categories and applications to commutative rings","authors":"H. Matsui, Ryo Takahashi","doi":"10.2969/jmsj/82868286","DOIUrl":"https://doi.org/10.2969/jmsj/82868286","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":"72 1","pages":"1283-1307"},"PeriodicalIF":0.7,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49209302","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
Automorphism groups of smooth cubic threefolds 光滑立方三叠的自同构群
IF 0.7 4区 数学
Journal of the Mathematical Society of Japan Pub Date : 2020-10-01 DOI: 10.2969/jmsj/83088308
Li Wei, Xun Yu
{"title":"Automorphism groups of smooth cubic threefolds","authors":"Li Wei, Xun Yu","doi":"10.2969/jmsj/83088308","DOIUrl":"https://doi.org/10.2969/jmsj/83088308","url":null,"abstract":"","PeriodicalId":49988,"journal":{"name":"Journal of the Mathematical Society of Japan","volume":"72 1","pages":"1327-1343"},"PeriodicalIF":0.7,"publicationDate":"2020-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45434945","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: 8
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