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Annales Scientifiques De L Ecole Normale Superieure最新文献

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C^1-rigidity of circle maps with breaks for almost all rotation numbers 几乎所有旋转数的带断裂的圆映射的C^1-刚性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2017-01-01 DOI: 10.24033/ASENS.2342
K. Khanin, S. Kocić, E. Mazzeo
{"title":"C^1-rigidity of circle maps with breaks for almost all rotation numbers","authors":"K. Khanin, S. Kocić, E. Mazzeo","doi":"10.24033/ASENS.2342","DOIUrl":"https://doi.org/10.24033/ASENS.2342","url":null,"abstract":"We prove that, for almost all irrational ρ ∈ (0, 1), every two C2+α-smooth, α ∈ (0, 1), circle diffeomorphisms with a break point, i.e., a singular point where the derivative has a jump discontinuity, with the same rotation number ρ and the same size of the break c ∈ R+{1}, are C1-smoothly conjugate to each other. Résumé Nous démontrons que pour presque tous les irrationnels ρ ∈ (0, 1), deux difféomorphismes du cercle C2+α lisses, α ∈ (0, 1), avec un point de singularité de type rupture où la dérivée a une discontinuité de saut, avec le même nombre de rotation ρ et la même taille de rupture c ∈ R+{1}, sont C1-conjugués l’un à l’autre. 2000 Mathematics Subject Classification: 37E10, 37E20.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"7 1","pages":"1163-1203"},"PeriodicalIF":1.9,"publicationDate":"2017-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79006444","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: 14
Unbounded potential recovery in the plane 在平面上无限的潜在恢复
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-09-01 DOI: 10.24033/ASENS.2302
K. Astala, D. Faraco, K. Rogers
{"title":"Unbounded potential recovery in the plane","authors":"K. Astala, D. Faraco, K. Rogers","doi":"10.24033/ASENS.2302","DOIUrl":"https://doi.org/10.24033/ASENS.2302","url":null,"abstract":"We reconstruct compactly supported potentials with only half a derivative in L from the scattering amplitude at a fixed energy. For this we draw a connection between the recently introduced method of Bukhgeim, which uniquely determined the potential from the Dirichletto-Neumann map, and a question of Carleson regarding the convergence to initial data of solutions to time-dependent Schrödinger equations. We also provide examples of compactly supported potentials, with s derivatives in L for any s < 1/2, which cannot be recovered by these means. Thus the recovery method has a different threshold in terms of regularity than the corresponding uniqueness result.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"82 1","pages":"1027-1051"},"PeriodicalIF":1.9,"publicationDate":"2016-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83259757","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: 11
K-stability of Fano spherical varieties Fano球形品种的k -稳定性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-08-05 DOI: 10.24033/ASENS.2430
Thibaut Delcroix
{"title":"K-stability of Fano spherical varieties","authors":"Thibaut Delcroix","doi":"10.24033/ASENS.2430","DOIUrl":"https://doi.org/10.24033/ASENS.2430","url":null,"abstract":"We prove a combinatorial criterion for K-stability of a Q-Fano spherical variety with respect to equivariant special test configurations, in terms of its moment polytope and some combinatorial data associated to the open orbit. Combined with the equivariant version of the Yau-Tian-Donaldson conjecture for Fano manifolds proved by Datar and Szekelyhidi, it yields a criterion for the existence of a Kahler-Einstein metric on a spherical Fano manifold. The results hold also for modified K-stability and existence of Kahler-Ricci solitons.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"36 1","pages":"615-662"},"PeriodicalIF":1.9,"publicationDate":"2016-08-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84841931","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: 57
Fundamental groups of F-regular singularities via F-signature f -正则奇点的基本群
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-06-13 DOI: 10.24033/asens.2370
Javier Carvajal-Rojas, Karl Schwede, Kevin Tucker
{"title":"Fundamental groups of F-regular singularities via F-signature","authors":"Javier Carvajal-Rojas, Karl Schwede, Kevin Tucker","doi":"10.24033/asens.2370","DOIUrl":"https://doi.org/10.24033/asens.2370","url":null,"abstract":"We prove that the local etale fundamental group of a strongly $F$-regular singularity is finite (and likewise for the etale fundamental group of the complement of a codimension $geq 2$ set), analogous to results of Xu and Greb-Kebekus-Peternell for KLT singularities in characteristic zero. In fact our result is effective, we show that the reciprocal of the $F$-signature of the singularity gives a bound on the size of this fundamental group. To prove these results and their corollaries, we develop new transformation rules for the $F$-signature under finite etale-in-codimension-one extensions. As another consequence of these transformation rules, we also obtain purity of the branch locus over rings with mild singularities (particularly if the $F$-signature is $> 1/2$). Finally, we generalize our $F$-signature transformation rules to the context of pairs and not-necessarily etale-in-codimension-one extensions, obtaining an analog of another result of Xu.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"36 1","pages":"993-1016"},"PeriodicalIF":1.9,"publicationDate":"2016-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73523466","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: 33
Wild ramification determines the characteristic cycle 野生分枝决定了特征周期
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-04-06 DOI: 10.24033/asens.2339
Takeshi Saito, Yuri Yatagawa
{"title":"Wild ramification determines the characteristic cycle","authors":"Takeshi Saito, Yuri Yatagawa","doi":"10.24033/asens.2339","DOIUrl":"https://doi.org/10.24033/asens.2339","url":null,"abstract":"Constructible complexes have the same characteristic cycle if they have the same wild ramification, even if the characteristics of the coefficients fields are different.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"11 1","pages":"1065-1079"},"PeriodicalIF":1.9,"publicationDate":"2016-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75150791","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
Lipschitz stratifications in o-minimal structures o-极小构造中的Lipschitz层理
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-03-01 DOI: 10.24033/ASENS.2286
Nhan Nguyen, G. Valette
{"title":"Lipschitz stratifications in o-minimal structures","authors":"Nhan Nguyen, G. Valette","doi":"10.24033/ASENS.2286","DOIUrl":"https://doi.org/10.24033/ASENS.2286","url":null,"abstract":"This paper establishes existence of Lipschitz stratifications in the sense of Mostowski for sets which are definable in a polynomially bounded o-minimal structure. We also improve L. van den Dries and P. Speissegger’s preparation theorem for definable functions.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"218 1","pages":"399-421"},"PeriodicalIF":1.9,"publicationDate":"2016-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77693955","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: 19
The obstacle problem for the total variation flow 全变流的障碍问题
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-01-01 DOI: 10.24033/ASENS.2306
V. Bögelein, F. Duzaar, Christoph Scheven
{"title":"The obstacle problem for the total variation flow","authors":"V. Bögelein, F. Duzaar, Christoph Scheven","doi":"10.24033/ASENS.2306","DOIUrl":"https://doi.org/10.24033/ASENS.2306","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"8 1","pages":"1143-1188"},"PeriodicalIF":1.9,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86997880","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
Théorème de Chebotarev et complexité de Littlewood Chebotarev定理和Littlewood复杂性
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2016-01-01 DOI: 10.24033/ASENS.2291
J. Bellaïche
{"title":"Théorème de Chebotarev et complexité de Littlewood","authors":"J. Bellaïche","doi":"10.24033/ASENS.2291","DOIUrl":"https://doi.org/10.24033/ASENS.2291","url":null,"abstract":"Resume. The effective version of Chebotarev’s density theorem under the Generalized Riemann Hypothesis and the Artin conjecture (cf. Iwaniec and Kowalski’s Analytic Number Theory, §5.13) involves a numerical invariant of a subset D of a finite group G that we call the Littlewood Complexity of D. We study this invariant in detail. Using this study, and an application of the large sieve, we give improved versions of two standard problems related to Chebotarev : the bound on the first prime in a Frobenian set, and the asymptotics of the set of primes with given Frobenius in an infinite family of Galois extensions. We then give concrete applications to the problem of the factorization of an integral polynomial modulo primes, to the Lang-Trotter conjecture for abelian surfaces, and to the conjecture of Koblitz, with in all three cases better bounds that previously known.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"21 1","pages":"579-632"},"PeriodicalIF":1.9,"publicationDate":"2016-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76284806","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: 8
Sur la préservation de la surconvergence par l'image directe d'un morphisme propre et lisse 通过一种干净流畅的形态的直接图像来保存过度收敛
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2015-01-01 DOI: 10.24033/ASENS.2240
Daniel Caro
{"title":"Sur la préservation de la surconvergence par l'image directe d'un morphisme propre et lisse","authors":"Daniel Caro","doi":"10.24033/ASENS.2240","DOIUrl":"https://doi.org/10.24033/ASENS.2240","url":null,"abstract":"","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"76 1","pages":"131-169"},"PeriodicalIF":1.9,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84036238","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: 18
Cascades in the Dynamics of Measured Foliations 测量叶理动力学中的级联
IF 1.9 1区 数学
Annales Scientifiques De L Ecole Normale Superieure Pub Date : 2015-01-01 DOI: 10.24033/ASENS.2237
C. McMullen
{"title":"Cascades in the Dynamics of Measured Foliations","authors":"C. McMullen","doi":"10.24033/ASENS.2237","DOIUrl":"https://doi.org/10.24033/ASENS.2237","url":null,"abstract":"This paper studies the behavior of harmonic measured foliations on compact Riemann surfaces. Cascades in the dynamics of such a foliation can occur as its relative periods are varied. We show that in the case of genus 2, the bifurcation locus arising from such a variation is a closed, countable set of R that embeds in ω. Resume Nous etudions le comportement des feuilletages mesures harmoniques sur les surfaces de Riemann compactes. Quands les periodes relatives varient, on peut observer des cascades dans la dynamique d’un tel feuilletage. Dans le cas du genre 2, on montre que le lieu de bifurcation resultant d’une telle variation est un sous-ensemble denombrable et ferme de R, qui se plonge dans ω.","PeriodicalId":50971,"journal":{"name":"Annales Scientifiques De L Ecole Normale Superieure","volume":"28 1","pages":"1-39"},"PeriodicalIF":1.9,"publicationDate":"2015-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78002155","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
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