Pub Date : 2023-01-01DOI: 10.1215/21562261-10428456
Francesco Lemma, T. Ochiai
. We establish the existence of congruences between a fixed endoscopic, globally generic, cuspidal automorphic representation Π of GSp(4) of square-free conductor and stable cuspidal automorphic representations of the same weight modulo certain prime factors of the value at 1 of the adjoint L -function of Π normalized by a suitable period.
{"title":"Endoscopic congruences modulo adjoint L-values for GSp(4)","authors":"Francesco Lemma, T. Ochiai","doi":"10.1215/21562261-10428456","DOIUrl":"https://doi.org/10.1215/21562261-10428456","url":null,"abstract":". We establish the existence of congruences between a fixed endoscopic, globally generic, cuspidal automorphic representation Π of GSp(4) of square-free conductor and stable cuspidal automorphic representations of the same weight modulo certain prime factors of the value at 1 of the adjoint L -function of Π normalized by a suitable period.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44544061","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}
Pub Date : 2023-01-01DOI: 10.1215/21562261-2023-0010
Xiaoman Chen, Kun Gao, Jiawen Zhang
In this paper, we introduce a strongly quasi-local version of the coarse Novikov conjecture, which states that a certain assembly map from the coarse K-homology of a metric space to the K-theory of its strongly quasi-local algebra is injective. We prove that the conjecture holds for metric spaces with bounded geometry which can be coarsely embedded into Banach spaces with Property (H), as introduced by Kasparov and Yu. We also generalize the notion of strong quasi-locality to proper metric spaces and provide a (strongly) quasi-local picture for K-homology.
{"title":"The strongly quasi-local coarse Novikov conjecture and Banach spaces with Property (H)","authors":"Xiaoman Chen, Kun Gao, Jiawen Zhang","doi":"10.1215/21562261-2023-0010","DOIUrl":"https://doi.org/10.1215/21562261-2023-0010","url":null,"abstract":"In this paper, we introduce a strongly quasi-local version of the coarse Novikov conjecture, which states that a certain assembly map from the coarse K-homology of a metric space to the K-theory of its strongly quasi-local algebra is injective. We prove that the conjecture holds for metric spaces with bounded geometry which can be coarsely embedded into Banach spaces with Property (H), as introduced by Kasparov and Yu. We also generalize the notion of strong quasi-locality to proper metric spaces and provide a (strongly) quasi-local picture for K-homology.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"139 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136257269","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}
Pub Date : 2023-01-01DOI: 10.1215/21562261-2023-0004
Xuan Yu
{"title":"Support theory of abelian categories—some discussion","authors":"Xuan Yu","doi":"10.1215/21562261-2023-0004","DOIUrl":"https://doi.org/10.1215/21562261-2023-0004","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44271971","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}
Pub Date : 2023-01-01DOI: 10.1215/21562261-2023-0003
Rudi Mrazovic, Nikola Sandrić, Stjepan Šebek
{"title":"Capacity of the range of random walks on groups","authors":"Rudi Mrazovic, Nikola Sandrić, Stjepan Šebek","doi":"10.1215/21562261-2023-0003","DOIUrl":"https://doi.org/10.1215/21562261-2023-0003","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42014956","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}
Pub Date : 2023-01-01DOI: 10.1215/21562261-10607326
Mounir Hajli
{"title":"A new proof of some of Shintani’s formulas","authors":"Mounir Hajli","doi":"10.1215/21562261-10607326","DOIUrl":"https://doi.org/10.1215/21562261-10607326","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43660009","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}
Pub Date : 2022-07-08DOI: 10.1215/21562261-10607402
Keisuke Uchimura
Chebyshev polynomials in one variable are typical chaotic maps on the complex 1-space. Chebyshev endomorphisms f on the complex n-space A are also chaotic. The endomorphisms f induce mappings on the quotient space A/G, where G is the dihedral group of order 2(n+1). Using invariant theory we embed A/G as an affine subvariety X in the complex m-space. Then we have morphisms g on X. We study the chaotic properties of g when n = 2 and 3.
{"title":"Dynamics of Chebyshev endomorphisms on some affine algebraic varieties","authors":"Keisuke Uchimura","doi":"10.1215/21562261-10607402","DOIUrl":"https://doi.org/10.1215/21562261-10607402","url":null,"abstract":"Chebyshev polynomials in one variable are typical chaotic maps on the complex 1-space. Chebyshev endomorphisms f on the complex n-space A are also chaotic. The endomorphisms f induce mappings on the quotient space A/G, where G is the dihedral group of order 2(n+1). Using invariant theory we embed A/G as an affine subvariety X in the complex m-space. Then we have morphisms g on X. We study the chaotic properties of g when n = 2 and 3.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-07-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45192866","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0005
Yuichiro Hoshi
— In the present paper, we study the absolute anabelian geometry of hyperbolic orbicurves. The first main result of the present paper shows the absolute version of the Grothendieck conjecture for quasi-tripods — e.g., hyperbolic curves of genus less than two — over, for instance, finitely generated extensions of mixed-characteristic local fields. Moreover, we prove some absolute anabelian results for certain hyperbolic polycurves as applications of the first main result. Finally, we also show the absolute version of the Grothendieck conjecture for MLF-isotrivial hyperbolic orbicurves over finitely generated extensions of mixedcharacteristic local fields.
{"title":"The absolute anabelian geometry of quasi-tripods","authors":"Yuichiro Hoshi","doi":"10.1215/21562261-2022-0005","DOIUrl":"https://doi.org/10.1215/21562261-2022-0005","url":null,"abstract":"— In the present paper, we study the absolute anabelian geometry of hyperbolic orbicurves. The first main result of the present paper shows the absolute version of the Grothendieck conjecture for quasi-tripods — e.g., hyperbolic curves of genus less than two — over, for instance, finitely generated extensions of mixed-characteristic local fields. Moreover, we prove some absolute anabelian results for certain hyperbolic polycurves as applications of the first main result. Finally, we also show the absolute version of the Grothendieck conjecture for MLF-isotrivial hyperbolic orbicurves over finitely generated extensions of mixedcharacteristic local fields.","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46346017","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0011
Grzegorz Oleksik
{"title":"The Łojasiewicz exponent of weighted homogeneous polynomials at infinity","authors":"Grzegorz Oleksik","doi":"10.1215/21562261-2022-0011","DOIUrl":"https://doi.org/10.1215/21562261-2022-0011","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45056784","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}
Pub Date : 2022-01-01DOI: 10.1215/21562261-2022-0008
N. Hatano, T. Nogayama, Y. Sawano
{"title":"A remark on the paper “Vector-valued operators with singular kernel and Triebel–Lizorkin block spaces with variable exponents” by Kwok Pun Ho","authors":"N. Hatano, T. Nogayama, Y. Sawano","doi":"10.1215/21562261-2022-0008","DOIUrl":"https://doi.org/10.1215/21562261-2022-0008","url":null,"abstract":"","PeriodicalId":49149,"journal":{"name":"Kyoto Journal of Mathematics","volume":" ","pages":""},"PeriodicalIF":0.6,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49532282","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}
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