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Exposé Bourbaki 1158 : Réduction stable en dimension supérieure (d'après Kollár, Hacon-Xu, ...) Bourbaki 1158展览:稳定的高维还原(kollar, Hacon-Xu，…)
IF 1.1 4区 数学
Asterisque Pub Date : 2019-04-06 DOI: 10.24033/ast.1137
Olivier Benoist
{"title":"Exposé Bourbaki 1158 : Réduction stable en dimension supérieure (d'après Kollár, Hacon-Xu, ...)","authors":"Olivier Benoist","doi":"10.24033/ast.1137","DOIUrl":"https://doi.org/10.24033/ast.1137","url":null,"abstract":"L'espace de modules des courbes stables de Deligne et Mumford est une compactification de l'espace de modules des courbes lisses de genre $geq 2$, parametrant certaines courbes nodales. C'est un outil puissant pour l'etude des courbes algebriques. Des analogues en dimension superieure ont ete construits par Kollar, Shepherd-Barron et Alexeev en dimension 2, et par Viehweg dans le cas des varietes lisses. Nous expliquerons les idees recentes ayant permis la construction de ces espaces de modules en general, notamment le theoreme de reduction stable en dimension superieure, qui reflete leur compacite.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47796416","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}
引用次数: 2
Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes 单柱方形平铺表面对马士威奇体量的贡献
IF 1.1 4区 数学
Asterisque Pub Date : 2019-03-24 DOI: 10.24033/AST.1107
V. Delecroix, É. Goujard, P. Zograf, A. Zorich
{"title":"Contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes","authors":"V. Delecroix, É. Goujard, P. Zograf, A. Zorich","doi":"10.24033/AST.1107","DOIUrl":"https://doi.org/10.24033/AST.1107","url":null,"abstract":"We compute explicitly the absolute contribution of square-tiled surfaces having a single horizontal cylinder to the Masur-Veech volume of any ambient stratum of Abelian differentials. The resulting count is particularly simple and efficient in the large genus asymptotics. Using the recent results of Aggarwal and of Chen-Moeller-Zagier on the long-standing conjecture about the large genus asymptotics of Masur-Veech volumes, we derive that the relative contribution is asymptotically of the order 1/d, where d is the dimension of the stratum. Similarly, we evaluate the contribution of one-cylinder square-tiled surfaces to Masur-Veech volumes of low-dimensional strata in the moduli space of quadratic differentials. We combine this count with our recent result on equidistribution of one-cylinder square-tiled surfaces translated to the language of interval exchange transformations to compute empirically approximate values of the Masur-Veech volumes of strata of quadratic differentials of all small dimensions.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43305588","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}
引用次数: 17
Strong regularity 强烈的规律性
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-27 DOI: 10.24033/ast.1076
P. Berger, J. Yoccoz
{"title":"Strong regularity","authors":"P. Berger, J. Yoccoz","doi":"10.24033/ast.1076","DOIUrl":"https://doi.org/10.24033/ast.1076","url":null,"abstract":"This is an introduction of a book called \"strong regularity\", to appear at Ast'erisque, containing: 1) Yoccoz' proof of Jakobson theorem www.college-de-france.fr/media/jean-christophe-yoccoz/UPL7416254474776698194_Jakobson_jcy.pdf 2) Berger's proof of the abundance of non-uniformly hyperbolic H'enon like endomorphisms arxiv.org/abs/0903.1473 It gives an overview of the main examples and conjectures of non-uniformly hyperbolic set for low dimensional dynamical systems. It compares the proofs of parameter selections based on the concept of binding with those based on the one of strong regularity.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41329936","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}
引用次数: 6
On Roth type conditions, duality and central Birkhoff sums for i.e.m. 在Roth型条件下，对偶性和中心Birkhoff和。
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-26 DOI: 10.24033/ast.11111
S. Marmi, C. Ulcigrai, J. Yoccoz
{"title":"On Roth type conditions, duality and central Birkhoff sums for i.e.m.","authors":"S. Marmi, C. Ulcigrai, J. Yoccoz","doi":"10.24033/ast.11111","DOIUrl":"https://doi.org/10.24033/ast.11111","url":null,"abstract":"We introduce two Diophantine conditions on rotation numbers of interval exchange maps (i.e.m) and translation surfaces: the emph{absolute Roth type condition} is a weakening of the notion of Roth type i.e.m., while the emph{dual Roth type} condition is a condition on the emph{backward} rotation number of a translation surface. We show that results on the cohomological equation previously proved in cite{MY} for restricted Roth type i.e.m. (on the solvability under finitely many obstructions and the regularity of the solutions) can be extended to restricted emph{absolute} Roth type i.e.m. Under the dual Roth type condition, we associate to a class of functions with emph{subpolynomial} deviations of ergodic averages (corresponding to relative homology classes) emph{distributional} limit shapes, which are constructed in a similar way to the emph{limit shapes} of Birkhoff sums associated in cite{MMY3} to functions which correspond to positive Lyapunov exponents.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":" ","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47836477","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}
引用次数: 5
Progrès récents concernant le programme de Zimmer [d’après A. Brown, D. Fisher et S. Hurtado] 齐默项目的最新进展[来自A. Brown, D. Fisher和S. Hurtado]
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-01 DOI: 10.24033/ast.1080
Serge Cantat
{"title":"Progrès récents concernant le programme de Zimmer [d’après A. Brown, D. Fisher et S. Hurtado]","authors":"Serge Cantat","doi":"10.24033/ast.1080","DOIUrl":"https://doi.org/10.24033/ast.1080","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68829013","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}
引用次数: 8
Séminaire Bourbaki volume 2017 / 2018 exposés 1136-1150 布尔巴基研讨会卷2017 / 2018论文1136-1150
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-01 DOI: 10.24033/ast.1095
N. Bourbaki
{"title":"Séminaire Bourbaki volume 2017 / 2018 exposés 1136-1150","authors":"N. Bourbaki","doi":"10.24033/ast.1095","DOIUrl":"https://doi.org/10.24033/ast.1095","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68829786","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}
引用次数: 2
Progrès en irrationalité 非理性的进步
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-01 DOI: 10.24033/ast.1061
Emmanuel PEYRE
{"title":"Progrès en irrationalité","authors":"Emmanuel PEYRE","doi":"10.24033/ast.1061","DOIUrl":"https://doi.org/10.24033/ast.1061","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68828116","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}
引用次数: 0
Flexibilité en géométrie de contact en grande dimension (d’après Borman, Eliashberg et Murphy) 大尺寸接触几何的灵活性(根据Borman, Eliashberg和Murphy)
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-01 DOI: 10.24033/ast.1069
Patrick MASSOT
{"title":"Flexibilité en géométrie de contact en grande dimension (d’après Borman, Eliashberg et Murphy)","authors":"Patrick MASSOT","doi":"10.24033/ast.1069","DOIUrl":"https://doi.org/10.24033/ast.1069","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"51 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68828404","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}
引用次数: 0
Anti-gravity à la Carlotto-Schoen (after Carlotto and Schoen) 卡洛托-舍恩的反重力(以卡洛托和舍恩命名)
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-01 DOI: 10.24033/ast.1058
Piotr T Chruściel
{"title":"Anti-gravity à la Carlotto-Schoen (after Carlotto and Schoen)","authors":"Piotr T Chruściel","doi":"10.24033/ast.1058","DOIUrl":"https://doi.org/10.24033/ast.1058","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68827869","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}
引用次数: 0
Le problème de Riemann-Hilbert dans le cas irrégulier (d’après des travaux de D’Agnolo, Kashiwara, Mochizuki et Schapira) 不规则情况下的黎曼-希尔伯特问题(基于D’Agnolo, Kashiwara, Mochizuki和Schapira的工作)
IF 1.1 4区 数学
Asterisque Pub Date : 2019-01-01 DOI: 10.24033/ast.1066
Stéphane GUILLERMOU
{"title":"Le problème de Riemann-Hilbert dans le cas irrégulier (d’après des travaux de D’Agnolo, Kashiwara, Mochizuki et Schapira)","authors":"Stéphane GUILLERMOU","doi":"10.24033/ast.1066","DOIUrl":"https://doi.org/10.24033/ast.1066","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":"1 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2019-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68828358","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}
引用次数: 0
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