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Pacific Journal of Mathematics最新文献

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Compactness of conformal metrics with integral bounds on Ricci curvature 里奇曲率上有积分界的共形度量的紧性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-26 DOI: 10.2140/pjm.2022.316.65
Conghan Dong, Yuxiang Li
{"title":"Compactness of conformal metrics with integral bounds on Ricci curvature","authors":"Conghan Dong, Yuxiang Li","doi":"10.2140/pjm.2022.316.65","DOIUrl":"https://doi.org/10.2140/pjm.2022.316.65","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46114660","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
Rigidity of CR morphisms CR态射的刚性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-26 DOI: 10.2140/pjm.2022.316.207
Xiankui Meng, S. Yau
{"title":"Rigidity of CR morphisms","authors":"Xiankui Meng, S. Yau","doi":"10.2140/pjm.2022.316.207","DOIUrl":"https://doi.org/10.2140/pjm.2022.316.207","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49586173","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
Derived right adjoints of parabolic induction: an example 抛物型归纳的导出右邻接：一个例子
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-20 DOI: 10.2140/pjm.2022.321.345
K. Kozioł
{"title":"Derived right adjoints of parabolic induction: an example","authors":"K. Kozioł","doi":"10.2140/pjm.2022.321.345","DOIUrl":"https://doi.org/10.2140/pjm.2022.321.345","url":null,"abstract":"Suppose $p geq 5$ is a prime number, and let $G = textrm{SL}_2(mathbb{Q}_p)$. We calculate the derived functors $textrm{R}^nmathcal{R}_B^G(pi)$, where $B$ is a Borel subgroup of $G$, $mathcal{R}_B^G$ is the right adjoint of smooth parabolic induction constructed by Vign'eras, and $pi$ is any smooth, absolutely irreducible, mod $p$ representation of $G$.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45389075","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
Clifford systems, harmonic maps and metrics with nonnegative curvature Clifford系统，调和映射和非负曲率度量
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-18 DOI: 10.2140/pjm.2022.320.391
Chao Qian, Zizhou Tang, Wenjiao Yan
{"title":"Clifford systems, harmonic maps and metrics with nonnegative curvature","authors":"Chao Qian, Zizhou Tang, Wenjiao Yan","doi":"10.2140/pjm.2022.320.391","DOIUrl":"https://doi.org/10.2140/pjm.2022.320.391","url":null,"abstract":"Associated with a symmetric Clifford system ${P_0, P_1,cdots, P_{m}}$ on $mathbb{R}^{2l}$, there is a canonical vector bundle $eta$ over $S^{l-1}$. For $m=4$ and $8$, we construct explicitly its characteristic map, and determine completely when the sphere bundle $S(eta)$ associated to $eta$ admits a cross-section. These generalize the results in cite{St51} and cite{Ja58}. As an application, we establish new harmonic representatives of certain elements in homotopy groups of spheres (cf. cite{PT97} cite{PT98}). By a suitable choice of Clifford system, we construct a metric of non-negative curvature on $S(eta)$ which is diffeomorphic to the inhomogeneous focal submanifold $M_+$ of OT-FKM type isoparametric hypersurfaces with $m=3$.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42125351","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
The strong homotopy structure of BRST reduction BRST归约的强同宗结构
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-17 DOI: 10.2140/pjm.2023.325.47
C. Esposito, Andreas Kraft, Jonas Schnitzer
{"title":"The strong homotopy structure of BRST reduction","authors":"C. Esposito, Andreas Kraft, Jonas Schnitzer","doi":"10.2140/pjm.2023.325.47","DOIUrl":"https://doi.org/10.2140/pjm.2023.325.47","url":null,"abstract":"In this paper we propose a reduction scheme for polydifferential operators phrased in terms of $L_infty$-morphisms. The desired reduction $L_infty$-morphism has been obtained by applying an explicit version of the homotopy transfer theorem. Finally, we prove that the reduced star product induced by this reduction $L_infty$-morphism and the reduced star product obtained via the formal Koszul complex are equivalent.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42638365","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
Rigidity of valuative trees under henselization henselization下评价树的刚性
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-04 DOI: 10.2140/pjm.2022.319.189
E. Nart
{"title":"Rigidity of valuative trees under henselization","authors":"E. Nart","doi":"10.2140/pjm.2022.319.189","DOIUrl":"https://doi.org/10.2140/pjm.2022.319.189","url":null,"abstract":". Let ( K, v ) be a valued field and let ( K h , v h ) be the henselization determined by the choice of an extension of v to an algebraic closure of K . Consider an embedding v ( K ∗ ) ֒ → Λ of the value group into a divisible ordered abelian group. Let T ( K, Λ), T ( K h , Λ) be the trees formed by all Λ-valued extensions of v , v h to the polynomial rings K [ x ], K h [ x ], respectively. We show that the natural restriction mapping T ( K h , Λ) → T ( K, Λ) is an isomorphism of posets. As a consequence, the restriction mapping T v h → T v is an isomorphism of posets too, where T v , T v h are the trees whose nodes are the equivalence classes of valuations on K [ x ], K h [ x ] whose restriction to K , K h are equivalent to v , v h , respectively.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43470199","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: 5
Constructing knots with specified geometric limits 构造具有指定几何极限的结
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-03 DOI: 10.2140/pjm.2023.324.111
Urs Fuchs, J. Purcell, J. Stewart
{"title":"Constructing knots with specified geometric limits","authors":"Urs Fuchs, J. Purcell, J. Stewart","doi":"10.2140/pjm.2023.324.111","DOIUrl":"https://doi.org/10.2140/pjm.2023.324.111","url":null,"abstract":"It is known that any tame hyperbolic 3-manifold with infinite volume and a single end is the geometric limit of a sequence of finite volume hyperbolic knot complements. Purcell and Souto showed that if the original manifold embeds in the 3-sphere, then such knots can be taken to lie in the 3-sphere. However, their proof was nonconstructive; no examples were produced. In this paper, we give a constructive proof in the geometrically finite case. That is, given a geometrically finite, tame hyperbolic 3-manifold with one end, we build an explicit family of knots whose complements converge to it geometrically. Our knots lie in the (topological) double of the original manifold. The construction generalises the class of fully augmented links to a Kleinian groups setting.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46713424","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
Trianguline lifts of global mod p Galoisrepresentations 全球现代化Galois演示的三角线升降机
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-02-01 DOI: 10.2140/pjm.2022.320.223
N. Fakhruddin, Chandrashekhar B. Khare, Stefan Patrikis
{"title":"Trianguline lifts of global mod p Galois\u0000representations","authors":"N. Fakhruddin, Chandrashekhar B. Khare, Stefan Patrikis","doi":"10.2140/pjm.2022.320.223","DOIUrl":"https://doi.org/10.2140/pjm.2022.320.223","url":null,"abstract":"We show that under a suitable oddness condition, irreducible mod $p$ representations of the absolute Galois group of an arbitrary number field have characteristic zero lifts which are unramified outside a finite set of primes and trianguline at all primes of $F$ dividing $p$. We also prove variants of this result for representations valued in connected reductive groups.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42322380","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
Semigroup rings as weakly Krull domains 作为弱Krull域的半群环
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-01-24 DOI: 10.2140/pjm.2022.318.433
G. Chang, Victor Fadinger, Daniel Windisch
{"title":"Semigroup rings as weakly Krull domains","authors":"G. Chang, Victor Fadinger, Daniel Windisch","doi":"10.2140/pjm.2022.318.433","DOIUrl":"https://doi.org/10.2140/pjm.2022.318.433","url":null,"abstract":". Let D be an integral domain and Γ be a torsion-free commutative cancellative (additive) semigroup with identity element and quotient group G . In this paper, we show that if char( D ) = 0 (resp., char( D ) = p > 0), then D [Γ] is a weakly Krull domain if and only if D is a weakly Krull UMT-domain, Γ is a weakly Krull UMT-monoid, and G is of type (0 , 0 , 0 ,... ) (resp., type (0 , 0 , 0 ,... ) except p ). Moreover, we give arithmetical applications of this result. Our results show that there is also a class of weakly Krull domains, which are not Krull but have full system of sets of lengths.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45873098","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: 5
Proofs of some conjectures of Keith and Zanelloon t-regular partition Keith和Zanelloon关于t正则分割的一些猜想的证明
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-01-18 DOI: 10.2140/pjm.2022.320.425
A. Singh, Rupam Barman
{"title":"Proofs of some conjectures of Keith and Zanello\u0000on t-regular partition","authors":"A. Singh, Rupam Barman","doi":"10.2140/pjm.2022.320.425","DOIUrl":"https://doi.org/10.2140/pjm.2022.320.425","url":null,"abstract":"For a positive integer $t$, let $b_{t}(n)$ denote the number of $t$-regular partitions of a nonnegative integer $n$. In a recent paper, Keith and Zanello established infinite families of congruences and self-similarity results modulo $2$ for $b_{t}(n)$ for certain values of $t$. Further, they proposed some conjectures on self-similarities of $b_t(n)$ modulo $2$ for certain values of $t$. In this paper, we prove their conjectures on $b_3(n)$ and $b_{25}(n)$. We also prove a self-similarity result for $b_{21}(n)$ modulo $2$.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44558159","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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