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Pacific Journal of Mathematics最新文献

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Average size of 2-Selmer groups of Jacobians of odd hyperelliptic curves over function fields 函数域上奇超椭圆曲线jacobian的2-Selmer群的平均大小
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-09-11 DOI: 10.2140/pjm.2022.319.259
Van Thinh Dao
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引用次数: 0
Eigenvalues of the drifting Laplacian on smooth metric measure spaces 光滑度量空间上漂移拉普拉斯算子的特征值
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-09-11 DOI: 10.2140/pjm.2022.319.439
Lingzhong Zeng, He-Jun Sun
{"title":"Eigenvalues of the drifting Laplacian on smooth metric measure spaces","authors":"Lingzhong Zeng, He-Jun Sun","doi":"10.2140/pjm.2022.319.439","DOIUrl":"https://doi.org/10.2140/pjm.2022.319.439","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42362871","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Dirac cohomology and orthogonality relations for weight modules 权模的狄拉克上同调和正交关系
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-08-28 DOI: 10.2140/pjm.2022.319.129
Jing Huang, W. Xiao
{"title":"Dirac cohomology and orthogonality relations for weight modules","authors":"Jing Huang, W. Xiao","doi":"10.2140/pjm.2022.319.129","DOIUrl":"https://doi.org/10.2140/pjm.2022.319.129","url":null,"abstract":"Let $mathfrak{g}$ be a reductive Lie algebra over $mathbb{C}$. For any simple weight module of $mathfrak{g}$ with finite-dimensional weight spaces, we show that its Dirac cohomology is vanished unless it is a highest weight module. This completes the calculation of Dirac cohomology for simple weight modules since the Dirac cohomology of simple highest weight modules was carried out in our previous work. We also show that the Dirac index pairing of two weight modules which have infinitesimal characters agrees with their Euler-Poincar'{e} pairing. The analogue of this result for Harish-Chandra modules is a consequence of the Kazhdan's orthogonality conjecture which was settled by the first named author and Binyong Sun.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":"6 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80158719","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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 prescribed Q-curvature 关于规定的q曲率的注释
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-08-28 DOI: 10.2140/pjm.2022.319.181
Mingxiang Li
{"title":"A note on prescribed Q-curvature","authors":"Mingxiang Li","doi":"10.2140/pjm.2022.319.181","DOIUrl":"https://doi.org/10.2140/pjm.2022.319.181","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42701187","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Elliptic surfaces of Kodaira dimension zero Kodaira维数为零的椭圆曲面
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-08-20 DOI: 10.2140/pjm.2022.318.249
Kentaro Mitsui
{"title":"Elliptic surfaces of Kodaira dimension zero","authors":"Kentaro Mitsui","doi":"10.2140/pjm.2022.318.249","DOIUrl":"https://doi.org/10.2140/pjm.2022.318.249","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47044605","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Elements of higher homotopy groups undetectable by polyhedral approximation 多面体近似不能检测到的高同伦群的元
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-08-13 DOI: 10.2140/pjm.2023.322.221
John K. Aceti, Jeremy Brazas
{"title":"Elements of higher homotopy groups undetectable by polyhedral approximation","authors":"John K. Aceti, Jeremy Brazas","doi":"10.2140/pjm.2023.322.221","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.221","url":null,"abstract":"When non-trivial local structures are present in a topological space $X$, a common approach to characterizing the isomorphism type of the $n$-th homotopy group $pi_n(X,x_0)$ is to consider the image of $pi_n(X,x_0)$ in the $n$-th v{C}ech homotopy group $check{pi}_n(X,x_0)$ under the canonical homomorphism $Psi_{n}:pi_n(X,x_0)to check{pi}_n(X,x_0)$. The subgroup $ker(Psi_n)$ is the obstruction to this tactic as it consists of precisely those elements of $pi_n(X,x_0)$, which cannot be detected by polyhedral approximations to $X$. In this paper, we use higher dimensional analogues of Spanier groups to characterize $ker(Psi_n)$. In particular, we prove that if $X$ is paracompact, Hausdorff, and $LC^{n-1}$, then $ker(Psi_n)$ is equal to the $n$-th Spanier group of $X$. We also use the perspective of higher Spanier groups to generalize a theorem of Kozlowski-Segal, which gives conditions ensuring that $Psi_{n}$ is an isomorphism.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48576450","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Generalized ideal classes in application to toroidal solenoids 广义理想类在环形螺线管中的应用
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-08-01 DOI: 10.2140/pjm.2022.318.189
M. Sabitova
{"title":"Generalized ideal classes in application to toroidal solenoids","authors":"M. Sabitova","doi":"10.2140/pjm.2022.318.189","DOIUrl":"https://doi.org/10.2140/pjm.2022.318.189","url":null,"abstract":". We study certain subgroups G A of Q n defined by non-singular n × n -matrices A with integer coefficients. In the first non-trivial case when n = 2, we give necessary and sufficient conditions for two such groups to be isomorphic. Namely, in the generic case when the characteristic polynomial of A is irreducible, we attach a generalized ideal class to A and essentially, two groups are isomorphic if and only if the corresponding ideal classes are equivalent. The obtained results can be applied to studying associated toroidal solenoids.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47225344","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 4
Gradient estimates and Liouville theorems for Lichnerowicz equations Lichnerowicz方程的梯度估计和Liouville定理
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-07-14 DOI: 10.2140/pjm.2022.317.363
Pingliang Huang, Youde Wang
{"title":"Gradient estimates and Liouville theorems for Lichnerowicz equations","authors":"Pingliang Huang, Youde Wang","doi":"10.2140/pjm.2022.317.363","DOIUrl":"https://doi.org/10.2140/pjm.2022.317.363","url":null,"abstract":". In this paper we consider the gradient estimates on positive solutions to the following elliptic equation defined on a complete Riemannian manifold ( M, g ):","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-07-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46363406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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: 3
Boundary regularity of Bergman kernel inHölder space Bergman核inHölder空间的边界正则性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-07-13 DOI: 10.2140/pjm.2023.324.157
Ziming Shi
{"title":"Boundary regularity of Bergman kernel in\u0000Hölder space","authors":"Ziming Shi","doi":"10.2140/pjm.2023.324.157","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.157","url":null,"abstract":"Let $D$ be a bounded strictly pseudoconvex domain in $mathbb{C}^n$. Assuming $bD in C^{k+3+alpha}$ where $k$ is a non-negative integer and $0<alpha leq 1$, we show that 1) the Bergman kernel $B(cdot, w_0) in C^{k+ min{alpha, frac12 } } (overline D)$, for any $w_0 in D$; 2) The Bergman projection on $D$ is a bounded operator from $C^{k+beta}(overline D)$ to $C^{k + min { alpha, frac{beta}{2} }}(overline D) $ for any $0<beta leq 1$. Our results both improve and generalize the work of E. Ligocka.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-07-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42603366","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
Polynomial Dedekind domains with finite residue fields of prime characteristic 素数特征有限剩余域的多项式Dedekind域
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-07-09 DOI: 10.2140/pjm.2023.324.333
G. Peruginelli
{"title":"Polynomial Dedekind domains with finite residue fields of prime characteristic","authors":"G. Peruginelli","doi":"10.2140/pjm.2023.324.333","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.333","url":null,"abstract":"We show that every Dedekind domain $R$ lying between the polynomial rings $mathbb Z[X]$ and $mathbb Q[X]$ with the property that its residue fields of prime characteristic are finite fields is equal to a generalized ring of integer-valued polynomials, that is, for each prime $pinmathbb Z$ there exists a finite subset $E_p$ of transcendental elements over $mathbb Q$ in the absolute integral closure $overline{mathbb Z_p}$ of the ring of $p$-adic integers such that $R={finmathbb Q[X]mid f(E_p)subseteq overline{mathbb Z_p}, forall text{ prime }pinmathbb Z}$. Moreover, we prove that the class group of $R$ is isomorphic to a direct sum of a countable family of finitely generated abelian groups. Conversely, any group of this kind is the class group of a Dedekind domain $R$ between $mathbb Z[X]$ and $mathbb Q[X]$.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-07-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44660818","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
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