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Annales Scientifiques De L Ecole Normale Superieure最新文献

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Eichler-Shimura relations and semisimplicity of étale cohomology of quaternionic Shimura varieties 四元数Shimura变种的Eichler-Shimura关系和<s:1>上同调的半简单性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2374
J. Nekovář
{"title":"Eichler-Shimura relations and semisimplicity of étale cohomology of quaternionic Shimura varieties","authors":"J. Nekovář","doi":"10.24033/ASENS.2374","DOIUrl":"https://doi.org/10.24033/ASENS.2374","url":null,"abstract":"we show that the non CM part of `-adic étale cohomology of any compact quaternionic Shimura variety with coefficients in any automorphic local system is a semisimple Galois representation. If the local system has weight k = (k1, . . . , kd) with all ki of the same parity, the full `-adic étale cohomology is semisimple. For Hilbert modular varieties, analogous results are proved for `-adic intersection cohomology of the Baily-Borel compactification. The proof combines a representation-theoretical criterion of semisimplicity with Eichler-Shimura relations for partial Frobenius morphisms. Résumé : on montre que l’action galoisienne sur la partie sans multiplication complexe de la cohomologie étale d’un faisceau `-adique lisse automorphe sur une variété de Shimura quaternionique compacte est semisimple. Si le poids du faisceau s’écrit k = (k1, . . . , kd), où les ki ont la même parité, toute la cohomologie étale est semi-simple. Les mêmes résultats sont montrés pour la cohomologie d’intersection `-adique de la compactification de Baily-Borel des variétés modulaires de Hilbert. La preuve utilise un critère abstrait de semi-simplicité et les relations d’Eichler-Shimura pour les morphismes de Frobenius partiels.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"8 1","pages":"1179-1252"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74503384","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: 22
Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities 不连续非均匀双曲曲面映射的符号动力学
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2350
Yuri Lima, C. Matheus
{"title":"Symbolic dynamics for non-uniformly hyperbolic surface maps with discontinuities","authors":"Yuri Lima, C. Matheus","doi":"10.24033/ASENS.2350","DOIUrl":"https://doi.org/10.24033/ASENS.2350","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"69 1","pages":"1-38"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86124553","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: 2
Groups with no parametric Galois realizations 没有参数伽罗瓦实现的群
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2353
P. Dèbes
{"title":"Groups with no parametric Galois realizations","authors":"P. Dèbes","doi":"10.24033/ASENS.2353","DOIUrl":"https://doi.org/10.24033/ASENS.2353","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"89 1","pages":"143-179"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76265436","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
le halo spectral 光晕谱
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2362
Fabrizio Andreatta, A. Iovita, V. Pilloni
{"title":"le halo spectral","authors":"Fabrizio Andreatta, A. Iovita, V. Pilloni","doi":"10.24033/ASENS.2362","DOIUrl":"https://doi.org/10.24033/ASENS.2362","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"17 1","pages":"603-655"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90760284","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: 29
Actions affines isométriques propres des groupes hyperboliques sur des quotients d’espaces ℓp 集团自有股份affines等距的商对双曲空间ℓ(p
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2377
Aur'elien Alvarez, V. Lafforgue
{"title":"Actions affines isométriques propres des groupes hyperboliques sur des quotients d’espaces ℓp","authors":"Aur'elien Alvarez, V. Lafforgue","doi":"10.24033/ASENS.2377","DOIUrl":"https://doi.org/10.24033/ASENS.2377","url":null,"abstract":"HAL is a multi-disciplinary open access archive for the deposit and dissemination of scientific research documents, whether they are published or not. The documents may come from teaching and research institutions in France or abroad, or from public or private research centers. L’archive ouverte pluridisciplinaire HAL, est destinée au dépôt et à la diffusion de documents scientifiques de niveau recherche, publiés ou non, émanant des établissements d’enseignement et de recherche français ou étrangers, des laboratoires publics ou privés. Actions affines isométriques propres des groupes hyperboliques sur des quotients d’espaces lp Aurélien Alvarez, Vincent Lafforgue","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"67 1","pages":"1389-1398"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84045937","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: 1
Geometric quantization and asymptotics of pairings in TQFT TQFT中配对的几何量化和渐近性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2382
Renaud Detcherry
{"title":"Geometric quantization and asymptotics of pairings in TQFT","authors":"Renaud Detcherry","doi":"10.24033/ASENS.2382","DOIUrl":"https://doi.org/10.24033/ASENS.2382","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"10 1","pages":"1599-1631"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73608957","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: 1
Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation 质量临界非线性Schrödinger方程的强相互作用爆破气泡
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2018-01-01 DOI: 10.24033/ASENS.2364
Y. Martel, P. Raphaël
{"title":"Strongly interacting blow up bubbles for the mass critical nonlinear Schrödinger equation","authors":"Y. Martel, P. Raphaël","doi":"10.24033/ASENS.2364","DOIUrl":"https://doi.org/10.24033/ASENS.2364","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"9 1","pages":"701-737"},"PeriodicalIF":1.9,"publicationDate":"2018-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85499423","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: 37
Motives of rigid analytic tubes and nearby motivic sheaves 刚性分析管和附近动力轮的动机
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2017-12-31 DOI: 10.24033/ASENS.2347
J. Ayoub, F. Ivorra, J. Sebag
{"title":"Motives of rigid analytic tubes and nearby motivic sheaves","authors":"J. Ayoub, F. Ivorra, J. Sebag","doi":"10.24033/ASENS.2347","DOIUrl":"https://doi.org/10.24033/ASENS.2347","url":null,"abstract":"Let k be a field of characteristic zero, R D k[[t]] the ring of formal power series and K D k((t)) its fraction field. Let X be a finite type R-scheme with smooth generic fiber. Let H be the t-adic completion of X and Hη the generic fiber of H. Let Z ⊂ Xσ bea locally closed subset of the special fiber of X. In this article, we establish a relation between the rigid motive of [Z] (the tube of Z in Hη) and the restriction to Z of the nearby motivic sheaf associated with the R-scheme X. Our main result, Theorem 7.1, can be interpreted as a motivic analog of a theorem of Berkovich. As an application, given a rational point x ∈ Xσ, we obtain an equality, in a suitable Grothendieck ring of motives, between the motivic Milnor fiber of Denef-Loeser at x and the class of the rigid motive of the analytic Milnor fiber of Nicaise-Sebag at x.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"102 1","pages":"1335-1382"},"PeriodicalIF":1.9,"publicationDate":"2017-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79943918","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: 9
Collapsing hyperkähler manifolds 坍塌hyperkähler流形
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2017-05-09 DOI: 10.24033/ASENS.2433
Valentino Tosatti, Yuguang Zhang
{"title":"Collapsing hyperkähler manifolds","authors":"Valentino Tosatti, Yuguang Zhang","doi":"10.24033/ASENS.2433","DOIUrl":"https://doi.org/10.24033/ASENS.2433","url":null,"abstract":"Given a projective hyperkahler manifold with a holomorphic Lagrangian fibration, we prove that hyperkahler metrics with volume of the torus fibers shrinking to zero collapse in the Gromov-Hausdorff sense (and smoothly away from the singular fibers) to a compact metric space which is a half-dimensional special Kahler manifold outside a singular set of real Hausdorff codimension 2 and is homeomorphic to the base projective space.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"22 1","pages":"751-786"},"PeriodicalIF":1.9,"publicationDate":"2017-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73057814","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: 20
Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below 具有度和从下有界的不变量的Q-Fano变的有界性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2017-05-08 DOI: 10.24033/ASENS.2445
Chen Jiang
{"title":"Boundedness of Q-Fano varieties with degrees and alpha-invariants bounded from below","authors":"Chen Jiang","doi":"10.24033/ASENS.2445","DOIUrl":"https://doi.org/10.24033/ASENS.2445","url":null,"abstract":"We show that $mathbb{Q}$-Fano varieties of fixed dimension with anti-canonical degrees and alpha-invariants bounded from below form a bounded family. As a corollary, K-semistable $mathbb{Q}$-Fano varieties of fixed dimension with anti-canonical degrees bounded from below form a bounded family.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"40 1","pages":"1235-1248"},"PeriodicalIF":1.9,"publicationDate":"2017-05-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89506962","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: 49
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