发布求助
文献互助 智能选刊 最新文献

Pacific Journal of Mathematics最新文献

筛选
英文 中文
On the theory of generalized Ulrich modules 关于广义Ulrich模的理论
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-01-07 DOI: 10.2140/pjm.2023.323.307
Cleto B. Miranda-Neto, D. S. Queiroz, Thyago S. Souza
{"title":"On the theory of generalized Ulrich modules","authors":"Cleto B. Miranda-Neto, D. S. Queiroz, Thyago S. Souza","doi":"10.2140/pjm.2023.323.307","DOIUrl":"https://doi.org/10.2140/pjm.2023.323.307","url":null,"abstract":"In this paper we further develop the theory of generalized Ulrich modules introduced in 2014 by Goto et al. Our main goal is to address the problem of when the operations of taking the Hom functor and horizontal linkage preserve the Ulrich property. One of the applications is a new characterization of quadratic hypersurface rings. Moreover, in the Gorenstein case, we deduce that applying linkage to sufficiently high syzygy modules of Ulrich ideals yields Ulrich modules. Finally, we explore connections to the theory of modules with minimal multiplicity, and as a byproduct we determine the Chern number of an Ulrich module as well as the Castelnuovo-Mumford regularity of its Rees module.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47118755","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
Nevanlinna theory via holomorphic forms 内万林纳理论通过全纯形式
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2022-01-07 DOI: 10.2140/pjm.2022.319.55
Xianjing Dong, Shuangshuang Yang
{"title":"Nevanlinna theory via holomorphic forms","authors":"Xianjing Dong, Shuangshuang Yang","doi":"10.2140/pjm.2022.319.55","DOIUrl":"https://doi.org/10.2140/pjm.2022.319.55","url":null,"abstract":". This paper re-develops Nevanlinna theory for meromorphic functions on C in the viewpoint of holomorphic forms. According to our observation, Nevanlinna’s functions can be formulated by a holomorphic form. Applying this thought to Riemann surfaces, one then extends the definition of Nevanlinna’s functions using a holomorphic form S . With the new settings, an analogue of Nevanlinna theory on the S -exhausted Riemann surfaces is obtained, which is viewed as a generalization of the classical Nevanlinna theory for C and D .","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2022-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42420315","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
Prime thick subcategories on elliptic curves 椭圆曲线上的素粗子范畴
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-12-27 DOI: 10.2140/pjm.2022.318.69
Yukikazu Hirano, Genki Ouchi
{"title":"Prime thick subcategories on elliptic curves","authors":"Yukikazu Hirano, Genki Ouchi","doi":"10.2140/pjm.2022.318.69","DOIUrl":"https://doi.org/10.2140/pjm.2022.318.69","url":null,"abstract":". We classify all prime thick subcategories in the derived category of coherent sheaves on elliptic curves, and determine the Serre invariant locus of Matsui spectrum of derived category of coherent sheaves on any smooth projective curves.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44596554","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
Bridge trisections and classical knotted surface theory 桥三分体与经典结面理论
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-12-21 DOI: 10.2140/pjm.2022.319.343
Jason Joseph, J. Meier, Maggie Miller, Alexander Zupan
{"title":"Bridge trisections and classical knotted surface theory","authors":"Jason Joseph, J. Meier, Maggie Miller, Alexander Zupan","doi":"10.2140/pjm.2022.319.343","DOIUrl":"https://doi.org/10.2140/pjm.2022.319.343","url":null,"abstract":"We seek to connect ideas in the theory of bridge trisections with other well-studied facets of classical knotted surface theory. First, we show how the normal Euler number can be computed from a tri-plane diagram, and we use this to give a trisection-theoretic proof of the Whitney-Massey Theorem, which bounds the possible values of this number in terms of the Euler characteristic. Second, we describe in detail how to compute the fundamental group and related invariants from a tri-plane diagram, and we use this, together with an analysis of bridge trisections of ribbon surfaces, to produce an infinite family of knotted spheres that admit non-isotopic bridge trisections of minimal complexity.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48501151","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: 8
Weyl estimates for spacelike hypersurfaces in de Sitter space de Sitter空间中类空间超曲面的Weyl估计
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-12-21 DOI: 10.2140/pjm.2022.320.1
Daniel Ballesteros-Chavez, W. Klingenberg, Ben Lambert
{"title":"Weyl estimates for spacelike hypersurfaces in de Sitter space","authors":"Daniel Ballesteros-Chavez, W. Klingenberg, Ben Lambert","doi":"10.2140/pjm.2022.320.1","DOIUrl":"https://doi.org/10.2140/pjm.2022.320.1","url":null,"abstract":". We study the isometric spacelike embedding problem in scaled de Sitter space, and obtain Weyl-type estimates and the corresponding closedness in the space of embeddings.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43479448","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
Coarse geometry of Hecke pairs and theBaum–Connes conjecture Hecke对的粗糙几何和baum - connes猜想
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-12-19 DOI: 10.2140/pjm.2023.322.21
Cl'ement Dell'Aiera
{"title":"Coarse geometry of Hecke pairs and the\u0000Baum–Connes conjecture","authors":"Cl'ement Dell'Aiera","doi":"10.2140/pjm.2023.322.21","DOIUrl":"https://doi.org/10.2140/pjm.2023.322.21","url":null,"abstract":"We study Hecke pairs using the coarse geometry of their coset space and their Schlichting completion. We prove new stability results for the Baum-Connes and the Novikov conjectures in the case where the pair is co-Haagerup. This allows to generalize previous results, while providing new examples of groups satisfying the Baum-Connes conjecture with coefficients. For instance, we show that for some S-arithmetic subgroups of Sp(5,1) and Sp(3,1) the conjecture with coefficients holds.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44379227","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 index of a modular differential operator 模微分算子的指数
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-12-13 DOI: 10.2140/pjm.2021.315.45
W. Duke
{"title":"The index of a modular differential operator","authors":"W. Duke","doi":"10.2140/pjm.2021.315.45","DOIUrl":"https://doi.org/10.2140/pjm.2021.315.45","url":null,"abstract":"The space of all weakly holomorphic modular forms and the space of all holomorphic period functions of a fixed weight for the modular group are realized as locally convex topological vector spaces that are topologically dual to each other. This framework is used to study the kernel and range of a linear differential operator that preserves modularity and to define and describe its adjoint. The main result is an index formula for such a differential operator that is holomorphic at infinity. The co-kernel of the operator is identified as a cohomology group of the modular group acting on the kernel.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42694080","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
Bessel quotients and Robin eigenvalues 贝塞尔商和罗宾特征值
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-12-13 DOI: 10.2140/pjm.2021.315.75
P. Freitas
{"title":"Bessel quotients and Robin eigenvalues","authors":"P. Freitas","doi":"10.2140/pjm.2021.315.75","DOIUrl":"https://doi.org/10.2140/pjm.2021.315.75","url":null,"abstract":"","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-12-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44081923","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
An algorithmic strategy for finding characteristic maps over wedged simplicial complexes 寻找楔形简单复合体特征映射的算法策略
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-11-14 DOI: 10.2140/pjm.2022.320.13
Suyoung Choi, Mathieu Vall'ee
{"title":"An algorithmic strategy for finding characteristic maps over wedged simplicial complexes","authors":"Suyoung Choi, Mathieu Vall'ee","doi":"10.2140/pjm.2022.320.13","DOIUrl":"https://doi.org/10.2140/pjm.2022.320.13","url":null,"abstract":". The puzzle method was introduced by Choi and Park as an effective method for finding non-singular characteristic maps over wedged simplicial complexes K ( J ) obtained from a given simplicial complex K . We study further the mod 2 case of the puzzle method. We firstly describe it completely in terms of linear algebraic language which allows us to develop a constructive puzzle algorithm. We also analyze our algorithm and compare its performances with other known algorithms including the Garrison and Scott algorithm.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42558482","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
Derivation Lie algebras of new k-th localalgebras of isolated hypersurface singularities 孤立超表面奇点的新k-局部代数的推导李代数
IF 0.6 3区 数学
Pacific Journal of Mathematics Pub Date : 2021-11-10 DOI: 10.2140/pjm.2021.314.311
Naveed Hussain, S. Yau, Huaiqing Zuo
{"title":"Derivation Lie algebras of new k-th local\u0000algebras of isolated hypersurface singularities","authors":"Naveed Hussain, S. Yau, Huaiqing Zuo","doi":"10.2140/pjm.2021.314.311","DOIUrl":"https://doi.org/10.2140/pjm.2021.314.311","url":null,"abstract":". Let ( V, 0) = { ( z 1 , · · · , z n ) ∈ C n : f ( z 1 , · · · , z n ) = 0 } be an isolated hypersurface singularity with mult ( f ) = m . Let J k ( f ) be the ideal generated by all k -th order partial derivative of f . For 1 ≤ k ≤ m − 1, the new object L k ( V ) is defined to be the Lie algebra of derivations of the new k -th local algebra M k ( V ), where M k ( V ) := O n / ( f + J 1 ( f ) + · · · + J k ( f )). Its dimension is denoted as δ k ( V ). This number δ k ( V ) is a new numerical analytic invariant. In this article we compute L 3 ( V ) for fewnomial isolated singularities (binomial, trinomial) and obtain the formulas of δ 3 ( V ). We also formulate a sharp upper estimate conjecture for the δ k ( V ) of weighted homogeneous isolated hypersurface singularities and verify this conjecture for large class of singularities. Furthermore, we formulate another inequality conjecture: δ ( k +1) ( V ) < δ k ( V ) , k ≥ 1 and verify it for low-dimensional fewnomial singularities.","PeriodicalId":54651,"journal":{"name":"Pacific Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.6,"publicationDate":"2021-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42555464","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
首页 上一页 下一页 尾页
0
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整，为了账户安全，请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
现在去查看 取消
×
提示
确定
请完成安全验证×
相关产品
×
本文献相关产品
联系我们：info@booksci.cn Book学术提供免费学术资源搜索服务，方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号：481959085
Book学术官方微信