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Indagationes Mathematicae最新文献

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A remark on the paper of Deninger and Murre 对 Deninger 和 Murre 论文的评论
Indagationes Mathematicae Pub Date : 2024-07-01 DOI: 10.1016/j.indag.2024.07.010
Ben Moonen
{"title":"A remark on the paper of Deninger and Murre","authors":"Ben Moonen","doi":"10.1016/j.indag.2024.07.010","DOIUrl":"https://doi.org/10.1016/j.indag.2024.07.010","url":null,"abstract":"","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141844337","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
A note on Lp-factorizations of representations 关于表征的 Lp 因子化的说明
Indagationes Mathematicae Pub Date : 2024-07-01 DOI: 10.1016/j.indag.2024.07.002
Pritam Ganguly, Bernhard Krötz, Job J. Kuit
{"title":"A note on <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e22\" altimg=\"si3.svg\"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mi>p</mml:mi></mml:mrow></mml:msup></mml:math>-factorizations of representations","authors":"Pritam Ganguly, Bernhard Krötz, Job J. Kuit","doi":"10.1016/j.indag.2024.07.002","DOIUrl":"https://doi.org/10.1016/j.indag.2024.07.002","url":null,"abstract":"","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141717121","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields 拉斯穆森和玉川对函数域上无性变种猜想的类比
Indagationes Mathematicae Pub Date : 2024-07-01 DOI: 10.1016/j.indag.2024.06.007
Mentzelos Melistas
{"title":"An analogue of a conjecture of Rasmussen and Tamagawa for abelian varieties over function fields","authors":"Mentzelos Melistas","doi":"10.1016/j.indag.2024.06.007","DOIUrl":"https://doi.org/10.1016/j.indag.2024.06.007","url":null,"abstract":"","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141690718","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Simple singularity of type E7 and the complex reflection group ST34 E7 型简单奇点和复反射群 ST34
Indagationes Mathematicae Pub Date : 2024-07-01 DOI: 10.1016/j.indag.2024.07.008
Jiro Sekiguchi
{"title":"Simple singularity of type <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e21\" altimg=\"si3.svg\"><mml:msub><mml:mrow><mml:mi>E</mml:mi></mml:mrow><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msub></mml:math> and the complex reflection group ST34","authors":"Jiro Sekiguchi","doi":"10.1016/j.indag.2024.07.008","DOIUrl":"https://doi.org/10.1016/j.indag.2024.07.008","url":null,"abstract":"","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141714375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The Generalized Riemann Hypothesis from zeros of a single L-function 从单一 L 函数的零点出发的广义黎曼假说
Indagationes Mathematicae Pub Date : 2024-07-01 DOI: 10.1016/j.indag.2024.07.009
William Banks
{"title":"The Generalized Riemann Hypothesis from zeros of a single <mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" display=\"inline\" id=\"d1e20\" altimg=\"si6.svg\"><mml:mi>L</mml:mi></mml:math>-function","authors":"William Banks","doi":"10.1016/j.indag.2024.07.009","DOIUrl":"https://doi.org/10.1016/j.indag.2024.07.009","url":null,"abstract":"","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141845529","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Symmetry breaking operators for the reductive dual pair (U[formula omitted],U[formula omitted]) 还原对偶（U[式略],U[式略]）的对称破缺算子
Indagationes Mathematicae Pub Date : 2024-06-28 DOI: 10.1016/j.indag.2024.06.004
M. McKee, A. Pasquale, T. Przebinda
{"title":"Symmetry breaking operators for the reductive dual pair (U[formula omitted],U[formula omitted])","authors":"M. McKee, A. Pasquale, T. Przebinda","doi":"10.1016/j.indag.2024.06.004","DOIUrl":"https://doi.org/10.1016/j.indag.2024.06.004","url":null,"abstract":"We consider the dual pair in the symplectic group . Fix a Weil representation of the metaplectic group . Let and be the preimages of and in , and let be a genuine irreducible representation of . We study the Weyl symbol of the (unique up to a possibly zero constant) symmetry breaking operator (SBO) intertwining the Weil representation with . This SBO coincides with the orthogonal projection of the space of the Weil representation onto its -isotypic component and also with the orthogonal projection onto its -isotypic component. Hence can be computed in two different ways, one using and the other using . By matching the results, we recover Weyl’s theorem stating that occurs in the Weil representation with multiplicity at most one and we also recover the complete list of the representations occurring in Howe’s correspondence.","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141569877","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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 inverse problem for finite differential Galois groups 关于有限微分伽罗瓦群逆问题的说明
Indagationes Mathematicae Pub Date : 2024-06-27 DOI: 10.1016/j.indag.2024.06.005
Camilo Sanabria Malagón
{"title":"A note on the inverse problem for finite differential Galois groups","authors":"Camilo Sanabria Malagón","doi":"10.1016/j.indag.2024.06.005","DOIUrl":"https://doi.org/10.1016/j.indag.2024.06.005","url":null,"abstract":"In this paper we revisit the following inverse problem: given a curve invariant under an irreducible finite linear algebraic group, can we construct an ordinary linear differential equation whose Schwarz map parametrizes it? We present an algorithmic solution to this problem under the assumption that we are given the function field of the quotient curve. The result provides a generalization and an efficient implementation of the solution to the inverse problem exposed by van der Put et al. (2020). As an application, we show that there is no hypergeometric equation with projective differential Galois group isomorphic to , thus completing Beukers and Heckman’s answer (Beukers and Heckman, 1989) to the question of which irreducible finite subgroup of are the projective monodromy of a hypergeometric equation.","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141569879","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Non-Hausdorff germinal groupoids for actions of countable groups 可数群作用的非豪斯多夫萌芽群形
Indagationes Mathematicae Pub Date : 2024-06-25 DOI: 10.1016/j.indag.2024.05.005
Olga Lukina
{"title":"Non-Hausdorff germinal groupoids for actions of countable groups","authors":"Olga Lukina","doi":"10.1016/j.indag.2024.05.005","DOIUrl":"https://doi.org/10.1016/j.indag.2024.05.005","url":null,"abstract":"We study conditions under which the germinal groupoid associated to a minimal equicontinuous action of a countable group on a Cantor set has non-Hausdorff topology. We develop a new criterion, which serves as an obstruction for the étale topology on the groupoid to be non-Hausdorff. We use this and other criteria to study the topology of germinal groupoids for a few classes of actions. In particular, we give examples of families of contracting and non-contracting self-similar groups, which are amenable and whose actions have associated germinal groupoids with non-Hausdorff topology.","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141569880","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Class numbers, Ono invariants and some interesting primes 类数、小野不变式和一些有趣的素数
Indagationes Mathematicae Pub Date : 2024-06-13 DOI: 10.1016/j.indag.2024.06.003
Alexandru Gica
{"title":"Class numbers, Ono invariants and some interesting primes","authors":"Alexandru Gica","doi":"10.1016/j.indag.2024.06.003","DOIUrl":"https://doi.org/10.1016/j.indag.2024.06.003","url":null,"abstract":"Our aim is to find all the prime numbers such that has at most two different prime factors, for all the odd integers such that . We solve entirely the cases , using the knowledge of the quadratic imaginary number fields with class numbers 4, 1 and 2 respectively. The case is not completely solved. Taking into account a result of Stéphane Louboutin, we prove that there is at most one value besides our list. Assuming a Restricted Riemann Hypothesis, the list is complete. In the last section of the paper we give a short sketch for the general problem: find all odd integers such that has at most two different prime factors, for all the odd integers such that .","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141504918","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Integral expressions for Schur multiple zeta values 舒尔多重zeta值的积分表达式
Indagationes Mathematicae Pub Date : 2024-06-13 DOI: 10.1016/j.indag.2024.05.010
Minoru Hirose, Hideki Murahara, Tomokazu Onozuka
{"title":"Integral expressions for Schur multiple zeta values","authors":"Minoru Hirose, Hideki Murahara, Tomokazu Onozuka","doi":"10.1016/j.indag.2024.05.010","DOIUrl":"https://doi.org/10.1016/j.indag.2024.05.010","url":null,"abstract":"Nakasuji, Phuksuwan, and Yamasaki defined the Schur multiple zeta values and gave iterated integral expressions of the Schur multiple zeta values of the ribbon type. This paper generalizes their integral expressions to the ones of more general Schur multiple zeta values having constant entries on the diagonals. Furthermore, we also discuss the duality relations for Schur multiple zeta values obtained from the integral expressions.","PeriodicalId":501252,"journal":{"name":"Indagationes Mathematicae","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141528966","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","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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