{"title":"Triple operator version of the Golden-Thompson inequality for traces on von Neumann algebras","authors":"N. Randrianantoanina","doi":"10.5802/aif.3575","DOIUrl":"https://doi.org/10.5802/aif.3575","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43183847","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}
{"title":"Laminations and 2-filling rays on infinite type surfaces","authors":"Lvzhou Chen, Alexander J. Rasmussen","doi":"10.5802/aif.3581","DOIUrl":"https://doi.org/10.5802/aif.3581","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48721396","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}
{"title":"Hilbert irreducibility, the Malle conjecture and the Grunwald problem","authors":"François Motte","doi":"10.5802/aif.3567","DOIUrl":"https://doi.org/10.5802/aif.3567","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42206629","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}
{"title":"Arc spaces and wedge spaces for toric varieties","authors":"Ana J. Reguera","doi":"10.5802/aif.3568","DOIUrl":"https://doi.org/10.5802/aif.3568","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2023-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49054160","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}
We describe a criterion for a real or complex hyperbolic lattice to admit a residually finite rational solvable (RFRS) tower that consists entirely of congruence subgroups. We use this to show that certain Bianchi groups PSL 2 (𝒪 d ) are virtually fibered on congruence subgroups, and also exhibit the first examples of RFRS Kähler groups that are not a subgroup of a product of surface groups and abelian groups.
{"title":"Congruence RFRS towers","authors":"Ian Agol, Matthew Stover","doi":"10.5802/aif.3532","DOIUrl":"https://doi.org/10.5802/aif.3532","url":null,"abstract":"We describe a criterion for a real or complex hyperbolic lattice to admit a residually finite rational solvable (RFRS) tower that consists entirely of congruence subgroups. We use this to show that certain Bianchi groups PSL 2 (𝒪 d ) are virtually fibered on congruence subgroups, and also exhibit the first examples of RFRS Kähler groups that are not a subgroup of a product of surface groups and abelian groups.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135288683","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}
In this paper, we construct a scattering theory for classical massive Dirac fields near the “double” horizon of an extreme Kerr–de Sitter blackhole. Our main tool is the existence of a conjugate operator in the sense of Mourre theory. Additionally, despite the fact that effects of the rotation are “amplified” near the double horizon, we show that one can still reduce our study to a 1-dimensional problem through an appropriate decomposition of the Hilbert space.
{"title":"Scattering theory for Dirac fields near an extreme Kerr–de Sitter black hole","authors":"Jack Borthwick","doi":"10.5802/aif.3553","DOIUrl":"https://doi.org/10.5802/aif.3553","url":null,"abstract":"In this paper, we construct a scattering theory for classical massive Dirac fields near the “double” horizon of an extreme Kerr–de Sitter blackhole. Our main tool is the existence of a conjugate operator in the sense of Mourre theory. Additionally, despite the fact that effects of the rotation are “amplified” near the double horizon, we show that one can still reduce our study to a 1-dimensional problem through an appropriate decomposition of the Hilbert space.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":"118 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135288145","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}
Let X be a complex nonsingular affine algebraic variety, K a compact holomorphically convex subset of X, and Y a homogeneous complex manifold for some complex linear algebraic group. We prove that a holomorphic map f:K→Y can be uniformly approximated on K by regular maps K→Y if and only if f is homotopic to a regular map K→Y. However, it may happen that a null homotopic holomorphic map K→Y does not admit uniform approximation on K by regular maps X→Y. Here, a map φ:K→Y is called holomorphic (resp. regular) if there exist an open (resp. a Zariski open) neighborhood U⊆X of K and a holomorphic (resp. regular) map φ ˜:U→Y such that φ ˜| K =φ.
设X是一个复非奇异仿射代数变异，K是X的紧全纯凸子集，Y是一个复线性代数群的齐次复流形。证明了全纯映射f:K→Y可以被正则映射K→Y一致逼近当且仅当f与正则映射K→Y同伦。然而，零同伦全纯映射K→Y不允许正则映射X→Y在K上的一致逼近。在这里，映射φ:K→Y被称为全纯映射。规则)，如果存在一个开放的(如。K的一个Zariski开的)邻域U⊥X和一个全纯的(相对于。正则)映射φ≈:U→Y使φ≈| K =φ。
{"title":"Rational approximation of holomorphic maps","authors":"Jacek Bochnak, Wojciech Kucharz","doi":"10.5802/aif.3542","DOIUrl":"https://doi.org/10.5802/aif.3542","url":null,"abstract":"Let X be a complex nonsingular affine algebraic variety, K a compact holomorphically convex subset of X, and Y a homogeneous complex manifold for some complex linear algebraic group. We prove that a holomorphic map f:K→Y can be uniformly approximated on K by regular maps K→Y if and only if f is homotopic to a regular map K→Y. However, it may happen that a null homotopic holomorphic map K→Y does not admit uniform approximation on K by regular maps X→Y. Here, a map φ:K→Y is called holomorphic (resp. regular) if there exist an open (resp. a Zariski open) neighborhood U⊆X of K and a holomorphic (resp. regular) map φ ˜:U→Y such that φ ˜| K =φ.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135288147","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}
{"title":"The Relative Canonical Ideal of the Kummer–Artin Schreier–Witt family of curves","authors":"H. Charalambous, K. Karagiannis, A. Kontogeorgis","doi":"10.5802/aif.3543","DOIUrl":"https://doi.org/10.5802/aif.3543","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45597424","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}
{"title":"On the rank-part of the Mazur–Tate refined conjecture for higher weight modular forms","authors":"Kazuto Ota","doi":"10.5802/aif.3557","DOIUrl":"https://doi.org/10.5802/aif.3557","url":null,"abstract":"","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48927463","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}
The absolute sets of local systems on a smooth complex algebraic variety are the subject of a conjecture of N. Budur and B. Wang based on an analogy with special subvarieties of Shimura varieties. An absolute set should be the higher-dimensional generalization of a local system of geometric origin. We show that the conjecture for absolute sets of simple cohomologically rigid local systems reduces to the zero-dimensional case, that is, to Simpson's conjecture that every such local system with quasi-unipotent monodromy at infinity and determinant is of geometric origin. In particular, the conjecture holds for this type of absolute sets if the variety is a curve or if the rank is two.
{"title":"Absolute sets of rigid local systems","authors":"Nero Budur, Leonardo A. Lerer, Haopeng Wang","doi":"10.5802/aif.3551","DOIUrl":"https://doi.org/10.5802/aif.3551","url":null,"abstract":"The absolute sets of local systems on a smooth complex algebraic variety are the subject of a conjecture of N. Budur and B. Wang based on an analogy with special subvarieties of Shimura varieties. An absolute set should be the higher-dimensional generalization of a local system of geometric origin. We show that the conjecture for absolute sets of simple cohomologically rigid local systems reduces to the zero-dimensional case, that is, to Simpson's conjecture that every such local system with quasi-unipotent monodromy at infinity and determinant is of geometric origin. In particular, the conjecture holds for this type of absolute sets if the variety is a curve or if the rank is two.","PeriodicalId":50781,"journal":{"name":"Annales De L Institut Fourier","volume":" ","pages":""},"PeriodicalIF":0.7,"publicationDate":"2022-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45838561","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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