Pub Date : 2019-12-01DOI: 10.21099/tkbjm/1585706449
Nobutaka Boumuki, T. Noda
{"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":null,"pages":null},"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}
Pub Date : 2019-11-11DOI: 10.21099/tkbjm/1585706452
A. Mărcuş, Shengyong Pan
We construct derived equivalences between group graded self-injective algebras, starting from equivalences between their 1-components, obtained via a construction of J. Rickard and S. Al-Nofayee.
{"title":"Tilting complexes for group graded self-injective algebras","authors":"A. Mărcuş, Shengyong Pan","doi":"10.21099/tkbjm/1585706452","DOIUrl":"https://doi.org/10.21099/tkbjm/1585706452","url":null,"abstract":"We construct derived equivalences between group graded self-injective algebras, starting from equivalences between their 1-components, obtained via a construction of J. Rickard and S. Al-Nofayee.","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-11-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47286663","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}
Pub Date : 2019-10-04DOI: 10.21099/tkbjm/20224601001
Qi Wang
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.
{"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":null,"pages":null},"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}
Pub Date : 2019-07-06DOI: 10.21099/tkbjm/20224602255
J. Brendle
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^{
{"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":null,"pages":null},"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}
Pub Date : 2019-07-01DOI: 10.21099/tkbjm/1571968820
Masaya Kawamura
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.
{"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":null,"pages":null},"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}
Pub Date : 2019-07-01DOI: 10.21099/tkbjm/1571968819
Kanako Enoyoshi, K. Tsukada
{"title":"Examples of transversally complex submanifolds of the associative Grassmann manifold","authors":"Kanako Enoyoshi, K. Tsukada","doi":"10.21099/tkbjm/1571968819","DOIUrl":"https://doi.org/10.21099/tkbjm/1571968819","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45532908","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}
Pub Date : 2019-07-01DOI: 10.21099/tkbjm/1571968821
J. Komeda, Makiko Mase
{"title":"Curves on weighted K3 surfaces of degree two with symmetric Weierstrass semigroups","authors":"J. Komeda, Makiko Mase","doi":"10.21099/tkbjm/1571968821","DOIUrl":"https://doi.org/10.21099/tkbjm/1571968821","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42953116","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}
Pub Date : 2019-07-01DOI: 10.21099/tkbjm/1571968822
T. Kamiyoshi, Y. Kurosawa, H. Nagase, M. Nagura
{"title":"Regular prehomogeneous vector spaces for valued Dynkin quivers","authors":"T. Kamiyoshi, Y. Kurosawa, H. Nagase, M. Nagura","doi":"10.21099/tkbjm/1571968822","DOIUrl":"https://doi.org/10.21099/tkbjm/1571968822","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2019-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45101175","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}
Pub Date : 2019-02-12DOI: 10.21099/tkbjm/20204401001
Kazuaki Tajima, Akihiko Yukie
We determine all orbits of two prehomogeneous vector spaces rationally over an arbitrary perfect field in this paper.
本文在任意完美场上合理地确定了两个预齐次向量空间的所有轨道。
{"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":null,"pages":null},"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}
Pub Date : 2018-12-01DOI: 10.21099/tkbjm/1554170422
Katsusuke Nabeshima, S. Tajima
{"title":"Computation methods of logarithmic vector fields associated to semi-weighted homogeneous isolated hypersurface singularities","authors":"Katsusuke Nabeshima, S. Tajima","doi":"10.21099/tkbjm/1554170422","DOIUrl":"https://doi.org/10.21099/tkbjm/1554170422","url":null,"abstract":"","PeriodicalId":44321,"journal":{"name":"Tsukuba Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.21099/tkbjm/1554170422","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45601785","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}
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