{"title":"Paraholomorphic cohomology groups of hyperbolic adjoint orbits","authors":"Nobutaka Boumuki, T. Noda","doi":"10.21099/tkbjm/1585706449","DOIUrl":"https://doi.org/10.21099/tkbjm/1585706449","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":"43 1","pages":"113-143"},"PeriodicalIF":0.7,"publicationDate":"2019-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45945539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On τ-tilting finite simply connected algebras","authors":"Qi Wang","doi":"10.21099/tkbjm/20224601001","DOIUrl":"https://doi.org/10.21099/tkbjm/20224601001","url":null,"abstract":"We show that τ -tilting finite simply connected algebras are representation-finite. Then, some related algebras are considered, including iterated tilted algebras, tubular algebras and so on. We also prove that the τ -tilting finiteness of non-sincere algebras can be reduced to that of sincere algebras. This motivates us to give a complete list of τ -tilting finite sincere simply connected algebras.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-10-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47601902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The higher Cichoń diagram in the degenerate case","authors":"J. Brendle","doi":"10.21099/tkbjm/20224602255","DOIUrl":"https://doi.org/10.21099/tkbjm/20224602255","url":null,"abstract":"For a regular uncountable cardinal kappa, we discuss the order relationship between the unbounding and dominating numbers on kappa and cardinal invariants of the higher meager ideal M_kappa. In particular, we obtain a complete characterization of add(M_kappa) and cof(M_kappa) in terms of cov(M_kappa) and non(M_kappa) and unbounding and dominating numbers, and we provide models showing that there are no restrictions on the value of non(M_kappa) in the degenerate case 2^{ kappa except 2^{<kappa} leq non(M_kappa) leq 2^kappa. The corresponding question for cof(M_kappa) remains open. Our results answer questions of joint work of the author with Brooke-Taylor, Friedman, and Montoya.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47818230","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A scalar Calabi-type flow in the almost Hermitian geometry","authors":"Masaya Kawamura","doi":"10.21099/tkbjm/1571968820","DOIUrl":"https://doi.org/10.21099/tkbjm/1571968820","url":null,"abstract":"We define a parabolic flow of almost Hermitian metrics which evolves an initial metric along the second derivative of the Chern scalar curvature. We show that the flow has a unique shorttime solution and also show a stability result when the background metric is quasi-Kahler with constant scalar curvature.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44348918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the GIT stratification of prehomogeneous vector spaces II","authors":"Kazuaki Tajima, Akihiko Yukie","doi":"10.21099/tkbjm/20204401001","DOIUrl":"https://doi.org/10.21099/tkbjm/20204401001","url":null,"abstract":"We determine all orbits of two prehomogeneous vector spaces rationally over an arbitrary perfect field in this paper.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2019-02-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43361840","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A topological proof of Chen's alternative Kneser coloring theorem","authors":"Yasuhiro Hara","doi":"10.21099/TKBJM/1554170424","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170424","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45574979","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"A formula for the Hurwitz zeta function, Riemann's functional equation and certain integral representations","authors":"Y. Kachi, P. Tzermias","doi":"10.21099/TKBJM/1554170427","DOIUrl":"https://doi.org/10.21099/TKBJM/1554170427","url":null,"abstract":"There is a well-known formula for the Hurwitz zeta function which implies the functional equation for the Riemann zeta function. We give a new proof of that formula and recover certain integral representations for the Hurwitz and Riemann zeta functions.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46908976","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Ring of the weight enumerators of $d_n^+$","authors":"M. Fujii, M. Oura","doi":"10.21099/TKBJM/1541559648","DOIUrl":"https://doi.org/10.21099/TKBJM/1541559648","url":null,"abstract":"We show that the ring of the weight enumerators of a self-dual doubly even code dn in arbitrary genus is finitely generated. Indeed enough elements to generate it are given. The latter result is applied to obtain a minimal set of generators of the ring in genus two.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/TKBJM/1541559648","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45536417","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Constant negative Gaussian curvature tori and their singularities","authors":"Tatsumasa Ura","doi":"10.21099/tkbjm/1541559651","DOIUrl":"https://doi.org/10.21099/tkbjm/1541559651","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46572940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Associated binomial inversion for unified Stirling numbers and counting subspaces generated by subsets of a root system","authors":"T. Kamiyoshi, M. Nagura, Shin-ichi Otani","doi":"10.21099/tkbjm/1541559652","DOIUrl":"https://doi.org/10.21099/tkbjm/1541559652","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1541559652","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48562991","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}