AsterisquePub Date : 2020-01-01DOI: 10.24033/ast.1136
Stefan Kekebus
{"title":"Exposé Bourbaki 1157 : Boundedness results for singular Fano varieties, and applications to Cremona groups following Birkar and Prokhorov-Shramov","authors":"Stefan Kekebus","doi":"10.24033/ast.1136","DOIUrl":"https://doi.org/10.24033/ast.1136","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68831176","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}
AsterisquePub Date : 2020-01-01DOI: 10.24033/ast.11098
Romain Dujardin
{"title":"A closing lemma for polynomial automorphisms of C","authors":"Romain Dujardin","doi":"10.24033/ast.11098","DOIUrl":"https://doi.org/10.24033/ast.11098","url":null,"abstract":"We prove that for a polynomial diffeomorphism of C^2 , the support of any invariant measure, apart from a few obvious cases, is contained in the closure of the set of saddle periodic points.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68829854","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}
AsterisquePub Date : 2020-01-01DOI: 10.24033/ast.1116
Giovanni FORNI, Adam KANIGOWSKI
{"title":"Time-changes of Heisenberg nilflows","authors":"Giovanni FORNI, Adam KANIGOWSKI","doi":"10.24033/ast.1116","DOIUrl":"https://doi.org/10.24033/ast.1116","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68830032","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}
AsterisquePub Date : 2020-01-01DOI: 10.24033/ast.11114
Tanya Firsova, M. Lyubich, Remus Radu, Raluca Tanase
{"title":"Hedgehogs for neutral dissipative germs of holomorphic diffeomorphisms of (C^2,0)","authors":"Tanya Firsova, M. Lyubich, Remus Radu, Raluca Tanase","doi":"10.24033/ast.11114","DOIUrl":"https://doi.org/10.24033/ast.11114","url":null,"abstract":"We prove the existence of hedgehogs for germs of complex analytic diffeomorphisms of (C, 0) with a semi-neutral fixed point at the origin, using topological techniques. This approach also provides an alternative proof of a theorem of Pérez-Marco on the existence of hedgehogs for germs of univalent holomorphic maps of (C, 0) with a neutral fixed point.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68830186","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}
AsterisquePub Date : 2020-01-01DOI: 10.24033/ast.1133
Ana Khukhro
{"title":"Exposé Bourbaki 1154 : Espaces et groupes non exacts admettant un plongement grossier dans un espace de Hilbert d'après Arzhantseva, Guentner, Osajda, Špakula","authors":"Ana Khukhro","doi":"10.24033/ast.1133","DOIUrl":"https://doi.org/10.24033/ast.1133","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68831033","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}
AsterisquePub Date : 2020-01-01DOI: 10.24033/ast.1139
{"title":"Exposé Bourbaki 1160 : HOMFLY polynomials rom the Hilbert schemes of a planar curve (after D. Maulik, A. Oblomkov, V. Shende, ...)","authors":"","doi":"10.24033/ast.1139","DOIUrl":"https://doi.org/10.24033/ast.1139","url":null,"abstract":"","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2020-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"68831253","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}
AsterisquePub Date : 2019-11-22DOI: 10.24033/ast.1112
A. Avila, Xavier Buff, Arnaud Ch'eritat
{"title":"Smooth Siegel disks everywhere","authors":"A. Avila, Xavier Buff, Arnaud Ch'eritat","doi":"10.24033/ast.1112","DOIUrl":"https://doi.org/10.24033/ast.1112","url":null,"abstract":"We prove the existence of Siegel disks with smooth boundaries in most families of holomorphic maps fixing the origin. The method can also yield other types of regularity conditions for the boundary. The family is required to have an indifferent fixed point at $0$, to be parameterized by the rotation number $alpha$, to depend on $alpha$ in a Lipschitz-continuous way, and to be non-degenerate. A degenerate family is one for which the set of non-linearizable maps is not dense. We give a characterization of degenerate families, which proves that they are quite exceptional.","PeriodicalId":55445,"journal":{"name":"Asterisque","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2019-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46874360","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}