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On the Termination of the MMP for Semistable Fourfolds in Mixed Characteristic 半稳定四重混合特性的MMP终止
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216172
Lingyao Xie, Q. Xue
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引用次数: 0
Weak Modularity and A˜n Coxeter Groups 弱模块化与A ~ n Coxeter群
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20205848
Zachary A. Munro
{"title":"Weak Modularity and A˜n Coxeter Groups","authors":"Zachary A. Munro","doi":"10.1307/mmj/20205848","DOIUrl":"https://doi.org/10.1307/mmj/20205848","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75845280","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
Automatic Continuity for Homeomorphism Groups and Big Mapping Class Groups 同胚群与大映射类群的自动连续性
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2023-01-01 DOI: 10.1307/mmj/20216095
Kathryn Mann
{"title":"Automatic Continuity for Homeomorphism Groups and Big Mapping Class Groups","authors":"Kathryn Mann","doi":"10.1307/mmj/20216095","DOIUrl":"https://doi.org/10.1307/mmj/20216095","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85919730","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
Residually Finite Lattices in PU(2,1)˜ and Fundamental Groups of Smooth Projective Surfaces PU(2,1) ~的剩余有限格和光滑投影曲面的基本群
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-08-01 DOI: 10.1307/mmj/20217215
Matthew Stover, D. Toledo
{"title":"Residually Finite Lattices in PU(2,1)˜ and Fundamental Groups of Smooth Projective Surfaces","authors":"Matthew Stover, D. Toledo","doi":"10.1307/mmj/20217215","DOIUrl":"https://doi.org/10.1307/mmj/20217215","url":null,"abstract":"This paper studies residual finiteness of lattices in the universal cover of PU(2 , 1) and applications to the existence of smooth projective varieties with fundamental group a cocompact lattice in PU(2 , 1) or a finite covering of it. First, we prove that certain lattices in the universal cover of PU(2 , 1) are residually finite. To our knowledge, these are the first such examples. We then use residually finite central extensions of torsion-free lattices in PU(2 , 1) to construct smooth projective surfaces that are not birationally equivalent to a smooth compact ball quotient but whose fundamental group is a torsion-free cocompact lattice in PU(2 , 1).","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86313954","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: 11
Torelli Locus and Rigidity 托雷利轨迹与刚性
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-08-01 DOI: 10.1307/mmj/20217207
Sai-Kee Yeung
{"title":"Torelli Locus and Rigidity","authors":"Sai-Kee Yeung","doi":"10.1307/mmj/20217207","DOIUrl":"https://doi.org/10.1307/mmj/20217207","url":null,"abstract":". The goal of the paper is to explain a harmonic map approach to two geometric problems related to the Torelli map. The first is related to the existence of totally geodesic submanifolds in the image of the Torelli map, and the second is on rigidity of representation of a lattice of a semi-simple Lie group in a mapping class group.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79537536","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
Classification of Special Reductive Groups 特殊约化群的分类
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-08-01 DOI: 10.1307/mmj/20207201
A. Merkurjev
{"title":"Classification of Special Reductive Groups","authors":"A. Merkurjev","doi":"10.1307/mmj/20207201","DOIUrl":"https://doi.org/10.1307/mmj/20207201","url":null,"abstract":". We give a classification of special reductive groups over arbitrary fields that improves a theorem of M. Huruguen.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75689730","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
Centrality 中心
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-08-01 DOI: 10.1307/mmj/20217212
T. Venkataramana
{"title":"Centrality","authors":"T. Venkataramana","doi":"10.1307/mmj/20217212","DOIUrl":"https://doi.org/10.1307/mmj/20217212","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78209185","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
Integral Models and Torsors of Inseparable Forms of Ga Ga不可分形式的积分模型和环量
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-08-01 DOI: 10.1307/mmj/20217211
I. Dolgachev
{"title":"Integral Models and Torsors of Inseparable Forms of Ga","authors":"I. Dolgachev","doi":"10.1307/mmj/20217211","DOIUrl":"https://doi.org/10.1307/mmj/20217211","url":null,"abstract":"","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-08-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86561845","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 Derived Hecke Algebra for Dihedral Weight One Forms 二面体权1形式的Hecke代数的推导
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-07-04 DOI: 10.1307/mmj/20217221
M. Harris, V. Rotger, Akshay Venkatesh
{"title":"The Derived Hecke Algebra for Dihedral Weight One Forms","authors":"M. Harris, V. Rotger, Akshay Venkatesh","doi":"10.1307/mmj/20217221","DOIUrl":"https://doi.org/10.1307/mmj/20217221","url":null,"abstract":"We study the action of the derived Hecke algebra in the setting of dihedral weight one forms and prove a conjecture of the secondand fourthnamed authors relating this action to certain Stark units associated to the symmetric square L-function. The proof exploits the theta correspondence between various Hecke modules as well as the ideas of Merel and Lecouturier on higher Eisenstein elements.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89027134","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: 9
On the Second Cohomology of the Norm One Group of a p-Adic Division Algebra 关于p进除法代数的范一群的第二上同调
IF 0.9 3区 数学
Michigan Mathematical Journal Pub Date : 2022-06-26 DOI: 10.1307/mmj/20217210
M. Ershov, T. Weigel
{"title":"On the Second Cohomology of the Norm One Group of a p-Adic Division Algebra","authors":"M. Ershov, T. Weigel","doi":"10.1307/mmj/20217210","DOIUrl":"https://doi.org/10.1307/mmj/20217210","url":null,"abstract":"Let F be a p-adic field, that is, a finite extension of Qp. Let D be a finite dimensional division algebra over F and let SL1(D) be the group of elements of reduced norm 1 in D. Prasad and Raghunathan proved that H(SL1(D), R/Z) is a cyclic p-group whose order is bounded from below by the number of p-power roots of unity in F , unless D is a quaternion algebra over Q2. In this paper we give an explicit upper bound for the order of H(SL1(D), R/Z) for p ≥ 5, and determine H(SL1(D), R/Z) precisely when F is cyclotomic, p ≥ 19 and the degree of D is not a power of p.","PeriodicalId":49820,"journal":{"name":"Michigan Mathematical Journal","volume":null,"pages":null},"PeriodicalIF":0.9,"publicationDate":"2022-06-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76601573","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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