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Annales Scientifiques De L Ecole Normale Superieure最新文献

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La réalisation étale et les opérations de Grothendieck 架子的实现和格罗腾迪克的操作
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-02-01 DOI: 10.24033/ASENS.2210
J. Ayoub
{"title":"La réalisation étale et les opérations de Grothendieck","authors":"J. Ayoub","doi":"10.24033/ASENS.2210","DOIUrl":"https://doi.org/10.24033/ASENS.2210","url":null,"abstract":"In this article, we construct etale realization functors defined on the categories DAet(X, Λ) of etale motives (without transfers) over a scheme X. Our construction is natural and relies on a relative rigidity theorem a la Suslin-Voevodsky that we will establish first. Then, we show that these realization functors are compatible with Grothendieck operations and the \"nearby cycles\" functors. Along the way, we prove a number of properties concerning etale motives.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"7 1","pages":"1-145"},"PeriodicalIF":1.9,"publicationDate":"2014-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74766802","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 109
Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula 对角循环与欧拉系统I: A $p$-adic Gross-Zagier公式
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-01-01 DOI: 10.24033/ASENS.2227
H. Darmon, V. Rotger
{"title":"Diagonal cycles and Euler systems I: A $p$-adic Gross-Zagier formula","authors":"H. Darmon, V. Rotger","doi":"10.24033/ASENS.2227","DOIUrl":"https://doi.org/10.24033/ASENS.2227","url":null,"abstract":"This article is the first in a series devoted to studying generalised Gross-KudlaSchoen diagonal cycles in the product of three Kuga-Sato varieties and the Euler system properties of the associated Selmer classes, with special emphasis on their application to the Birch–Swinnerton-Dyer conjecture and the theory of Stark-Heegner points. The basis for the entire study is a p-adic formula of Gross-Zagier type which relates the images of these diagonal cycles under the p-adic Abel-Jacobi map to special values of certain p-adic Lfunctions attached to the Garrett-Rankin triple convolution of three Hida families of modular forms. The main goal of this article is to describe and prove this formula. Cet article est le premier d’une serie consacree aux cycles de Gross-Kudla-Schoen generalises appartenant aux groupes de Chow de produits de trois varietes de Kuga-Sato, et aux systemes d’Euler qui leur sont associes. La serie au complet repose sur une variante p-adique de la formule de Gross-Zagier qui relie l’image des cycles de Gross-Kudla-Schoen par l’application d’Abel-Jacobi p-adique aux valeurs speciales de certaines fonctions L p-adiques attachees a la convolution de Garrett-Rankin de trois familles de Hida de formes modulaires cuspidales. L’objectif principal de cet article est de decrire et de demontrer cette variante. MSC: 11F12, 11G05, 11G35, 11G40.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"134 1","pages":"779-832"},"PeriodicalIF":1.9,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76721502","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 105
Composantes connexes géométriques de la tour des espaces de modules de groupes $p$-divisibles 群模空间的塔相关几何分量$p$-可整除
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2014-01-01 DOI: 10.24033/ASENS.2225
Miaofen Chen
{"title":"Composantes connexes géométriques de la tour des espaces de modules de groupes $p$-divisibles","authors":"Miaofen Chen","doi":"10.24033/ASENS.2225","DOIUrl":"https://doi.org/10.24033/ASENS.2225","url":null,"abstract":"Let M̆ be an unramified Rapoport-Zink space of EL type or unitary/symplectic PEL type. Let (M̆K)K be the tower of Berkovich’s analytic spaces classifying the level structures over the generic fiber of M̆. In [Che13], we have defined a determinant morphism detK from the tower (M̆K)K to a tower of Berkovich’s analytic spaces of dimension 0 associated to the cocenter of the reductive group related to the space M̆. Suppose that the Newton polygon and Hodge polygon related to M̆ don’t touch each other except their end point. And suppose that a conjecture on the set of connected components of the reduced special fiber of M̆ holds. Then we prove that the geometric fibers of the determinant morphism detK are the geometrically connected components of M̆K . The conjecture in the hypothesis will be confirmed in a paper in preparation by Kisin, Viehmann and the author.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"24 1","pages":"723-764"},"PeriodicalIF":1.9,"publicationDate":"2014-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78600408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 10
Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks 网络上拟凸Hamilton-Jacobi方程的通量限制解
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-06-11 DOI: 10.24033/ASENS.2323
C. Imbert, R. Monneau
{"title":"Flux-limited solutions for quasi-convex Hamilton-Jacobi equations on networks","authors":"C. Imbert, R. Monneau","doi":"10.24033/ASENS.2323","DOIUrl":"https://doi.org/10.24033/ASENS.2323","url":null,"abstract":"We study Hamilton-Jacobi equations on networks in the case where Hamiltonians are quasi-convex with respect to the gradient variable and can be discontinuous with respect to the space variable at vertices. First, we prove that imposing a general vertex condition is equivalent to imposing a specific one which only depends on Hamiltonians and an additional free parameter, the flux limiter. Second, a general method for proving comparison principles is introduced. This method consists in constructing a vertex test function to be used in the doubling variable approach. With such a theory and such a method in hand, we present various applications, among which a very general existence and uniqueness result for quasi-convex Hamilton-Jacobi equations on networks.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"693 1","pages":"357-448"},"PeriodicalIF":1.9,"publicationDate":"2013-06-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81795429","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 83
Varieties of minimal rational tangents of codimension 1 余维数为1的最小有理切线的变换
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2197
Jun-Muk Hwang
{"title":"Varieties of minimal rational tangents of codimension 1","authors":"Jun-Muk Hwang","doi":"10.24033/ASENS.2197","DOIUrl":"https://doi.org/10.24033/ASENS.2197","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"76 1","pages":"629-649"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76830104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 12
Erratum to: “Elementary embeddings in torsion-free hyperbolic groups” “无扭双曲群中的初等嵌入”的勘误
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2203
Chloé Perin
{"title":"Erratum to: “Elementary embeddings in torsion-free hyperbolic groups”","authors":"Chloé Perin","doi":"10.24033/ASENS.2203","DOIUrl":"https://doi.org/10.24033/ASENS.2203","url":null,"abstract":"The notations adopted are those of [Per11]. Proposition 5.11 of [Per11] states that if a torsion-free hyperbolic group A admits a cyclic JSJ-like decomposition Λ, and a non injective morphism f : A → A which restricts to conjugation on each non surface type vertex group, and sends surface type vertex groups to non abelian images, then there is a retraction r : A→ A′ which gives A a structure of hyperbolic floor over A′. Unfortunately, we realised that Proposition 5.11 fails to hold in a few exceptional low complexity cases. The natural modification to overcome this mistake is to proceed to a slight generalization of the notion of hyperbolic floors and hyperbolic towers, which we present in Section 1. As we will see in Section 2, however, this does not affect Theorem 1.2, the main result of the paper. Moreover, Theorem 1.2 is the only result which directly uses Proposition 5.11 in its proof. For a corrected version of the paper, see [Per09]. We sincerely apologize for any confusion caused by this mistake.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"23 1","pages":"851-856"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85949676","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 10
Random walks on co-compact fuchsian groups 共紧紫红色群上的随机漫步
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2013-01-01 DOI: 10.24033/ASENS.2186
S. Gouëzel, S. Lalley
{"title":"Random walks on co-compact fuchsian groups","authors":"S. Gouëzel, S. Lalley","doi":"10.24033/ASENS.2186","DOIUrl":"https://doi.org/10.24033/ASENS.2186","url":null,"abstract":"It is proved that the Green's function of a symmetric finite range random walk on a co-compact Fuchsian group decays exponentially in distance at the radius of convergence R. It is also shownthatAncona'sinequalitiesextendtoR,andthereforethattheMartinboundaryforR-potentials coincides with the natural geometric boundary S 1 , and that the Martin kernel is uniformly Holder continuous. Finally, this implies a local limit theorem for the transition probabilities: in the aperiodic case, p n (x;y) Cx;yR n n 3=2 .","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"1 1","pages":"131-175"},"PeriodicalIF":1.9,"publicationDate":"2013-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72729769","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 43
Stokes Resolvent Estimates in Spaces of Bounded Functions 有界函数空间中的Stokes可解估计
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-11-12 DOI: 10.24033/ASENS.2251
K. Abe, Y. Giga, Matthias Hieber
{"title":"Stokes Resolvent Estimates in Spaces of Bounded Functions","authors":"K. Abe, Y. Giga, Matthias Hieber","doi":"10.24033/ASENS.2251","DOIUrl":"https://doi.org/10.24033/ASENS.2251","url":null,"abstract":"We give a direct proof for the analyticity of the Stokes semigroup in spaces of bounded functions. This was recently proved by an indirect argument by the first and second authors for a class of domains called strictly admissible domains including bounded and exterior domains. Invoking the strictly admissibility, our approach is based on an adjustment of a standard resolvent estimate method for general elliptic operators introduced by K. Masuda (1972) and H. B. Stewart (1974). The resolvent approach in particular clarifies the sectorial region, Re z > 0 for z ∈ C for which the Stokes semigroup has an analytic continuation in spaces of bounded functions.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"8 1","pages":"537-559"},"PeriodicalIF":1.9,"publicationDate":"2012-11-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89752526","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 51
Semi-positivity in positive characteristics 正性特征中的半正性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-08-27 DOI: 10.24033/ASENS.2232
Z. Patakfalvi
{"title":"Semi-positivity in positive characteristics","authors":"Z. Patakfalvi","doi":"10.24033/ASENS.2232","DOIUrl":"https://doi.org/10.24033/ASENS.2232","url":null,"abstract":"Reference EPFL-ARTICLE-231106doi:10.24033/asens.2232 URL: http://dx.doi.org/10.24033/asens.2232 Record created on 2017-09-19, modified on 2017-10-02","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"38 1","pages":"991-1025"},"PeriodicalIF":1.9,"publicationDate":"2012-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78134610","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 61
FORMES MODULAIRES DE HILBERT MODULO p ET VALEURS D'EXTENSIONS GALOISIENNES 希尔伯特模形式p模和伽罗sian扩展的值
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2012-08-27 DOI: 10.24033/asens.2230
C. Breuil, Fred Diamond
{"title":"FORMES MODULAIRES DE HILBERT MODULO p ET VALEURS D'EXTENSIONS GALOISIENNES","authors":"C. Breuil, Fred Diamond","doi":"10.24033/asens.2230","DOIUrl":"https://doi.org/10.24033/asens.2230","url":null,"abstract":"Resume. — Soit F un corps totalement reel, v une place de F non ramifiee di- visant p et ρ : Gal(Q/F) → GL2(Fp) une representation continue irreductible dont la restriction ρ| Gal(Fv/Fv) est reductible et suffisamment generique. Siρ est modu- laire (et satisfait quelques conditions techniques faibles), nous montrons comment retrouver l'extension correspondante entre les deux caracteres de Gal(Fv/Fv) en terme de l'action de GL2(Fv) sur la cohomologie modulo p. Abstract. — Let F be a totally real field, v an unramified place of F dividing p and ρ : Gal(Q/F) → GL2(Fp) a continuous irreducible representation such that ρ| Gal(Fv/Fv) is reducible and sufficiently generic. Ifρ is modular (and satisfies some weak technical assumptions), we show how to recover the corresponding extension between the two characters of Gal(Fv/Fv) in terms of the action of GL2(Fv) on the cohomology mod p.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"51 1","pages":"905-974"},"PeriodicalIF":1.9,"publicationDate":"2012-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73239892","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"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: 32
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