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The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components 具有两个边界分量的三属不可定向曲面的映射类群的第一个带扭系数的同调群
4区 数学
Kodai Mathematical Journal Pub Date : 2023-10-30 DOI: 10.2996/kmj46301
Piotr Pawlak, Michał Stukow
{"title":"The first homology group with twisted coefficients for the mapping class group of a non-orientable surface of genus three with two boundary components","authors":"Piotr Pawlak, Michał Stukow","doi":"10.2996/kmj46301","DOIUrl":"https://doi.org/10.2996/kmj46301","url":null,"abstract":"We determine the first homology group with coefficients in $H_1(N;mathbb{Z})$ for the mapping class group of a non-orientable surface $N$ of genus three with two boundary components.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018121","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
Some weakly Einstein contact metric 3-manifolds 一些弱爱因斯坦接触度量3流形
4区 数学
Kodai Mathematical Journal Pub Date : 2023-10-30 DOI: 10.2996/kmj46305
Yaning Wang, Pei Wang
{"title":"Some weakly Einstein contact metric 3-manifolds","authors":"Yaning Wang, Pei Wang","doi":"10.2996/kmj46305","DOIUrl":"https://doi.org/10.2996/kmj46305","url":null,"abstract":"We prove that if a non-Sasakian contact metric 3-$tau$-$a$-manifold or contact metric 3-$H$-manifold is weakly Einstein, then it is locally isometric to a Lie group equipped with a left invariant contact metric structure.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018122","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
$k$-regular sequences to extension functors and local cohomology modules 扩展函子和局部上同模的正则序列
4区 数学
Kodai Mathematical Journal Pub Date : 2023-10-30 DOI: 10.2996/kmj46302
Sajjad Arda, Seadat Ollah Faramarzi, Khadijeh Ahmadi Amoli
{"title":"$k$-regular sequences to extension functors and local cohomology modules","authors":"Sajjad Arda, Seadat Ollah Faramarzi, Khadijeh Ahmadi Amoli","doi":"10.2996/kmj46302","DOIUrl":"https://doi.org/10.2996/kmj46302","url":null,"abstract":"In this paper we generalize the Zero Divisor Conjecture and Rigidity Theorem for $k$-regular sequence. For this purpose for any $k$-regular $M$-sequence ${x_1},...,{x_n}$ we prove that if $dim{rm Tor}_2^R({frac{R}{{({{x_1},...,{x_n}} )}},M}) le k$, then $dim{rm Tor}_i^R({frac{R}{{({{x_1},...,{x_n}})}},M}) le k$, for all $i ge 1$. Also we show that if $dim{rm Ext}_R^{n + 2}({frac{R}{{({{x_1},...,{x_n}})}},M}) le k$, then $dim{rm Ext}_R^{i}({frac{R}{{({{x_1},...,{x_n}})}},M}) le k$, for all integers $i ge 0$ $({i ne n})$.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018118","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 loop spaces of simplicial sets with marking 关于带标记的简单集的循环空间
4区 数学
Kodai Mathematical Journal Pub Date : 2023-10-30 DOI: 10.2996/kmj46303
Ryo Horiuchi
{"title":"On loop spaces of simplicial sets with marking","authors":"Ryo Horiuchi","doi":"10.2996/kmj46303","DOIUrl":"https://doi.org/10.2996/kmj46303","url":null,"abstract":"In this paper, we construct a sequence of homotopy invariants with respect to the model structure of Ozornova-Rovelli on the category of simplicial sets with marking and show that they are compatible with a construction of loop spaces.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018119","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 gerby deformation of complex tori and the homological mirror symmetry 复环面的格比变形与同调镜像对称
4区 数学
Kodai Mathematical Journal Pub Date : 2023-10-30 DOI: 10.2996/kmj46304
Kazushi Kobayashi
{"title":"A gerby deformation of complex tori and the homological mirror symmetry","authors":"Kazushi Kobayashi","doi":"10.2996/kmj46304","DOIUrl":"https://doi.org/10.2996/kmj46304","url":null,"abstract":"Let $(X,check{X})$ be a mirror pair of a complex torus $X$ and its mirror partner $check{X}$. This mirror pair is described as the trivial special Lagrangian torus fibrations $Xrightarrow B$ and $check{X}rightarrow B$ on the same base space $B$ by SYZ construction. Then, we can associate a holomorphic line bundle $E(s,mathcal{L})rightarrow X$ to a pair$(s,mathcal{L})$ of a Lagrangian section $s$ of $check{X}rightarrow B$ and a unitary local system $mathcal{L}$ along it. In this paper, we first construct the deformation $X_{mathcal{G}}$ of $X$ by a certain flat gerbe $mathcal{G}$ and its mirror partner $check{X}_{mathcal{G}}$ from the mirror pair $(X,check{X})$, and discuss deformations of objects $E(s,mathcal{L})$ and $(s,mathcal{L})$ over the deformed mirror pair $(X_{mathcal{G}},check{X}_{mathcal{G}})$.","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018120","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
Almost contact structures on the set of rational curves in a 4-dimensional twistor space 四维扭转空间中有理曲线集合上的几乎接触结构
4区 数学
Kodai Mathematical Journal Pub Date : 2023-10-30 DOI: 10.2996/kmj46306
Michifumi Teruya
{"title":"Almost contact structures on the set of rational curves in a 4-dimensional twistor space","authors":"Michifumi Teruya","doi":"10.2996/kmj46306","DOIUrl":"https://doi.org/10.2996/kmj46306","url":null,"abstract":"In this paper, we provide a correspondence between certain 5-dimensional complex spacetimes and 4-dimensional twistor spaces. The spacetimes are almost contact manifolds whose curvature tensor satisfies certain conditions. By using the correspondence, we show that a 5-dimensional K-contact manifold can be obtained from the Ren-Wang twistor space [10], which is obtained from two copies of $mathbb{C}^4$ identifying open subsets by a holomorphic map. From this result, the Ren-Wang twistor space can be interpreted in the framework of Itoh [5].","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-10-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136018278","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 Wirsing-type theorem for numerically equivalent divisors 数值等价除数的一个wirsing型定理
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2023-06-30 DOI: 10.2996/kmj46206
Giang Le
{"title":"A Wirsing-type theorem for numerically equivalent divisors","authors":"Giang Le","doi":"10.2996/kmj46206","DOIUrl":"https://doi.org/10.2996/kmj46206","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45695212","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 the Yotsutani-Zhou condition for relative K-instability 关于相对k -不稳定性的Yotsutani-Zhou条件的注记
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2023-06-30 DOI: 10.2996/kmj46205
Yasufumi Nitta, Shunsuke Saito
{"title":"A note on the Yotsutani-Zhou condition for relative K-instability","authors":"Yasufumi Nitta, Shunsuke Saito","doi":"10.2996/kmj46205","DOIUrl":"https://doi.org/10.2996/kmj46205","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48072011","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
Infinite series around multinomial coefficients and harmonic numbers 多项式系数和调和数的无穷级数
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2023-06-30 DOI: 10.2996/kmj46201
W. Chu
{"title":"Infinite series around multinomial coefficients and harmonic numbers","authors":"W. Chu","doi":"10.2996/kmj46201","DOIUrl":"https://doi.org/10.2996/kmj46201","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47598995","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 $C$-totally real submanifolds of $mathbb{S}^{2n+1}(1)$ with non-negative sectional curvature 关于截面曲率为非负的$mathbb｛S｝^｛2n+1｝（1）$的$C$全实子流形
IF 0.6 4区 数学
Kodai Mathematical Journal Pub Date : 2023-06-30 DOI: 10.2996/kmj46203
Xiuxiu Cheng, Zejun Hu
{"title":"On $C$-totally real submanifolds of $mathbb{S}^{2n+1}(1)$ with non-negative sectional curvature","authors":"Xiuxiu Cheng, Zejun Hu","doi":"10.2996/kmj46203","DOIUrl":"https://doi.org/10.2996/kmj46203","url":null,"abstract":"","PeriodicalId":54747,"journal":{"name":"Kodai Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48220395","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
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