{"title":"A note on a result of Lanteri about the class of a polarized surface","authors":"Y. Fukuma","doi":"10.32917/HMJ/1459525931","DOIUrl":"https://doi.org/10.32917/HMJ/1459525931","url":null,"abstract":"","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"46 1","pages":"79-85"},"PeriodicalIF":0.2,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464537","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}
{"title":"On non-periodic 3-Archimedean tilings with 6-fold rotational symmetry","authors":"N. Kinoshita, Kazushi Komatsu","doi":"10.32917/HMJ/1439219705","DOIUrl":"https://doi.org/10.32917/HMJ/1439219705","url":null,"abstract":"The purpose of this article is to construct a family of uncountably many non-periodic 3-Archimedean tilings with 6-fold rotational symmetry, which admit three types of vertex configurations by regular triangles and squares.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"137-146"},"PeriodicalIF":0.2,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464878","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}
{"title":"Galois action on mapping class groups","authors":"Yusuke Iijima","doi":"10.32917/HMJ/1439219709","DOIUrl":"https://doi.org/10.32917/HMJ/1439219709","url":null,"abstract":"A bstract . Let l be a prime number. In the paper, we study the outer Galois action on the profinite and the relative pro- l completions of mapping class groups of pointed orientable topological surfaces. In the profinite case, we prove that the outer Galois action is faithful. In the pro- l case, we prove that the kernel of the outer Galois action has certain stability properties with respect to the genus and the number of punctures. Also, we prove a variant of the above results for arbitrary families of curves.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"207-230"},"PeriodicalIF":0.2,"publicationDate":"2015-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464929","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}
{"title":"The values of the generalized matrix functions of 3 × 3 matrices","authors":"R. Tabata","doi":"10.32917/HMJ/1428365051","DOIUrl":"https://doi.org/10.32917/HMJ/1428365051","url":null,"abstract":"When A is a 3 × 3 positive semi-definite Hermitian matrix, Schur’s inequality and the permanental dominance conjecture are known to hold. In [5], we determined the possible positions of the normalized generalized matrix functions relative to the determinant and the permanent except in the case that the order of the subgroup is 2. The purpose of this paper is to determine the possible positions in the last open case.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"1-8"},"PeriodicalIF":0.2,"publicationDate":"2015-06-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464816","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}
{"title":"Geometry of homogeneous polar foliations of complex hyperbolic spaces","authors":"Akira Kubo","doi":"10.32917/HMJ/1428365055","DOIUrl":"https://doi.org/10.32917/HMJ/1428365055","url":null,"abstract":"Homogeneous polar foliations of complex hyperbolic spaces have been classified by Berndt and Diaz-Ramos. In this paper, we study geometry of leaves of such foliations: the minimality, the parallelism of the mean curvature vectors, and the congruency of orbits. In particular, we classify minimal leaves.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"109-123"},"PeriodicalIF":0.2,"publicationDate":"2015-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464867","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}
{"title":"Two-point homogeneous quandles with cardinality of prime power","authors":"K. Wada","doi":"10.32917/HMJ/1439219707","DOIUrl":"https://doi.org/10.32917/HMJ/1439219707","url":null,"abstract":"The main result of this paper classifies two-point homogeneous quandles with cardinality of prime power. More precisely, such quandles are isomorphic to Alexander quandles defined by primitive roots over finite fields. This result classifies all two-point homogeneous finite quandles, by combining with the recent result of Vendramin.","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"165-174"},"PeriodicalIF":0.2,"publicationDate":"2015-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464915","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}
{"title":"Consistency of log-likelihood-based information criteria for selecting variables in high-dimensional canonical correlation analysis under nonnormality","authors":"K. Fukui","doi":"10.32917/HMJ/1439219708","DOIUrl":"https://doi.org/10.32917/HMJ/1439219708","url":null,"abstract":"The purpose of this paper is to clarify the conditions for consistency of the loglikelihood-based information criteria in canonical correlation analysis of qand p-dimensional random vectors when the dimension p is large but does not exceed the sample size. Although the vector of observations is assumed to be normally distributed, we do not know whether the underlying distribution is actually normal. Therefore, conditions for consistency are evaluated in a high-dimensional asymptotic framework when the underlying distribution is not normal. AMS 2010 subject classification: Primary 62H12; Secondary 62H20","PeriodicalId":55054,"journal":{"name":"Hiroshima Mathematical Journal","volume":"45 1","pages":"175-205"},"PeriodicalIF":0.2,"publicationDate":"2015-06-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69464925","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}