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Osaka Journal of Mathematics最新文献

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Type numbers of quaternion hermitian forms and supersingular abelian varieties 四元数厄密形式和超奇异阿贝尔变体的型数
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2018-04-01 DOI: 10.18910/68357
T. Ibukiyama
{"title":"Type numbers of quaternion hermitian forms and supersingular abelian varieties","authors":"T. Ibukiyama","doi":"10.18910/68357","DOIUrl":"https://doi.org/10.18910/68357","url":null,"abstract":"The word type number of an algebra means classically the number of isomorphism classes of maximal orders in the algebra, but here we consider quaternion hermitian lattices in a fixed genus and their right orders. Instead of inner isomorphism classes of right orders, we consider isomorphism classes realized by similitudes of the quaternion hermitian forms.The number T of such isomorphism classes are called type number or G-type number , where G is the group of quaternion hermitian similitudes. We express T in terms of traces of some special Hecke operators. This is a generalization of the result announced in [5] (I) from the principal genus to general lattices. We also apply our result to the number of isomorphism classes of any polarized superspecial abelian varieties which have a model over F p such that the polarizations are in a ”fixed genus of lattices”. This is a generalization of [8] and has an application to the number of components in the supersingular locus which are defined over F p .","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41705769","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: 5
Representations of quantized coordinate algebras via PBW-type elements 量子化坐标代数的pbw型元表示
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2018-01-01 DOI: 10.18910/67750
Hironori Oya
{"title":"Representations of quantized coordinate algebras via PBW-type elements","authors":"Hironori Oya","doi":"10.18910/67750","DOIUrl":"https://doi.org/10.18910/67750","url":null,"abstract":"Inspired by the work of Kuniba-Okado-Yamada, we study some tensor product representations of quantized coordinate algebras of symmetrizable Kac-Moody Lie algebras in terms of quantized enveloping algebras. As a consequence, we describe structures and properties of certain reducible representations of quantized coordinate algebras. This paper includes alternative proofs of Soibelman’s tensor product theorem and Kuniba-Okado-Yamada’s common structure theorem based on our direct calculation method using global bases.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67899654","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
GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION 一类具有logistic型增长和超线性生产的n维抛物-抛物型趋化系统解的整体存在性
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2018-01-01 DOI: 10.18910/67749
E. Nakaguchi, Koichi Osaki
{"title":"GLOBAL EXISTENCE OF SOLUTIONS TO AN n-DIMENSIONAL PARABOLIC-PARABOLIC SYSTEM FOR CHEMOTAXIS WITH LOGISTIC-TYPE GROWTH AND SUPERLINEAR PRODUCTION","authors":"E. Nakaguchi, Koichi Osaki","doi":"10.18910/67749","DOIUrl":"https://doi.org/10.18910/67749","url":null,"abstract":"We study the global existence of solutions to an $n$-dimensional parabolic-parabolic system for chemotaxis with logistic-type growth. We introduce superlinear production of a chemoattractant. We then show the global existence of solutions in $L_p$ space $( p > n )$ under certain relations between the degradation and production orders.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67899604","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: 19
Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions 具有大谱参数和非齐次Robin型条件的拉普拉斯方程解的渐近性质
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2018-01-01 DOI: 10.18910/67751
Masaru Ikehata, M. Kawashita
{"title":"Asymptotic behavior of the solutions for the Laplace equation with a large spectral parameter and the inhomogeneous Robin type conditions","authors":"Masaru Ikehata, M. Kawashita","doi":"10.18910/67751","DOIUrl":"https://doi.org/10.18910/67751","url":null,"abstract":"","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67899718","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
A rigidity of equivariant holomorphic maps into a complex Grassmannian induced from orthogonal direct sums of holomorphic line bundles 由全纯线束的正交直和导出的等变全纯映射到复格拉斯曼的刚性
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2018-01-01 DOI: 10.18910/67752
Isami Koga
{"title":"A rigidity of equivariant holomorphic maps into a complex Grassmannian induced from orthogonal direct sums of holomorphic line bundles","authors":"Isami Koga","doi":"10.18910/67752","DOIUrl":"https://doi.org/10.18910/67752","url":null,"abstract":"In the present paper, we study holomorphic maps induced from orthogonal direct sums of holomorphic line bundles over a compact simply connected homogeneous K¨ahler manifold into a complex Grassmannian. Then we show if such maps are equivariant, then they are unique up to complex isometry.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"67899886","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
REMARKS ON FÖLLMER’S PATHWISE ITÔ CALCULUS
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2017-10-17 DOI: 10.18910/73360
Y. Hirai
{"title":"REMARKS ON FÖLLMER’S PATHWISE ITÔ CALCULUS","authors":"Y. Hirai","doi":"10.18910/73360","DOIUrl":"https://doi.org/10.18910/73360","url":null,"abstract":"We extend some results about Föllmer’s pathwise Itô calculus that have only been derived for continuous paths to càdlàg paths with quadratic variation. We study some fundamental properties of pathwise Itô integrals with respect to càdlàg integrators, especially associativity and the integration by parts formula. Moreover, we study integral equations with respect to pathwise Itô integrals. We prove that some classes of integral equations, which can be explicitly solved in the usual stochastic calculus, can also be solved within the framework of Föllmer’s calculus.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2017-10-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42430171","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: 7
Commensurability of link complements 链补的可公度
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2017-10-01 DOI: 10.18910/67004
H. Yoshida
{"title":"Commensurability of link complements","authors":"H. Yoshida","doi":"10.18910/67004","DOIUrl":"https://doi.org/10.18910/67004","url":null,"abstract":"Dedicated to Prof. Taizo Kanenobu, Makoto Sakuma, Yasutaka Nakanishi on their 60-th birthday","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46383988","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 ramified torsion points on a curve with stable reduction over an absolutely unramified base 绝对非分枝基上具有稳定归约的曲线上的分枝扭点
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2017-10-01 DOI: 10.18910/67013
Yuichiro Hoshi
{"title":"On ramified torsion points on a curve with stable reduction over an absolutely unramified base","authors":"Yuichiro Hoshi","doi":"10.18910/67013","DOIUrl":"https://doi.org/10.18910/67013","url":null,"abstract":"Let p be an odd prime number, W an absolutely unramified p-adically complete discrete valuation ring with algebraically closed residue field, and X a curve of genus at least two over the field of fractions K of W. In the present paper, we study, under the assumption that X has stable reduction over W, torsion points on X, i.e., torsion points of the Jacobian variety J of X which lie on the image of the Albanese embedding X ↪→ J with respect to a K-rational point of X. A consequence of the main result of the present paper is that if, moreover, J has good reduction over W, then every torsion point on X is K-rational after multiplying p. This result is closely related to a conjecture of R. Coleman concerning the ramification of torsion points. For instance, this result leads us to a solution of the conjecture in the case where a given curve is hyperelliptic and of genus at least p.","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47448049","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
Decomposition of complex hyperbolic isometries by two complex symmetries 用两个复对称分解复双曲等边
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2017-10-01 DOI: 10.18910/67006
Xue-Jing Ren, Baohua Xie, Yue-Ping Jiang
{"title":"Decomposition of complex hyperbolic isometries by two complex symmetries","authors":"Xue-Jing Ren, Baohua Xie, Yue-Ping Jiang","doi":"10.18910/67006","DOIUrl":"https://doi.org/10.18910/67006","url":null,"abstract":"Let $mathbf{PU}(2,1)$ denote the holomorphic isometry group of the $2$-dimensional complex hyperbolic space $mathbf{H}_{mathbb{C}}^{2}$, and the group $mathbf{SU}(2,1)$ is a 3-fold covering of $mathbf{PU}(2,1)$: $mathbf{PU}(2,1)=mathbf{SU}(2,1)/{omega I:omega^{3}=1}$. We study how to decompose a given pair of isometries $(A,B)in mathbf{SU}(2,1)^{2}$ under the form $A=I_{1}I_{2}$ and $B=I_{3}I_{2},$ where the $I_{k}$'s are complex symmetries about complex lines. If $(A,B)$ can be written as above, we call it is $mathbb{C}$-decomposable. The main results are decomposability criteria, which improve and supplement the result of [17].","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42894245","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
Perturbation of irregular Weyl-Heisenberg wave packet frames in $L^2(mathbb{R})$ L^2(mathbb{R})$中不规则Weyl-Heisenberg波包帧的摄动
IF 0.4 4区 数学
Osaka Journal of Mathematics Pub Date : 2017-10-01 DOI: 10.18910/67014
Raj Kumar, A. Sah
{"title":"Perturbation of irregular Weyl-Heisenberg wave packet frames in $L^2(mathbb{R})$","authors":"Raj Kumar, A. Sah","doi":"10.18910/67014","DOIUrl":"https://doi.org/10.18910/67014","url":null,"abstract":"","PeriodicalId":54660,"journal":{"name":"Osaka Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.4,"publicationDate":"2017-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42254125","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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