{"title":"Two decades of finite jet determination of CR mappings","authors":"B. Lamel, N. Mir","doi":"10.1007/s40627-022-00108-0","DOIUrl":"https://doi.org/10.1007/s40627-022-00108-0","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44074204","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analysis on quadrics","authors":"A. Boggess, A. Raich","doi":"10.1007/s40627-022-00107-1","DOIUrl":"https://doi.org/10.1007/s40627-022-00107-1","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-09-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41692589","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On exotic symmetries of finite type models","authors":"M. Kolář, F. Meylan","doi":"10.1007/s40627-022-00099-y","DOIUrl":"https://doi.org/10.1007/s40627-022-00099-y","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43389379","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Introducing isodynamic points for binary forms and their ratios","authors":"Christian Hägg, B. Shapiro, M. Shapiro","doi":"10.1007/s40627-022-00112-4","DOIUrl":"https://doi.org/10.1007/s40627-022-00112-4","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":"1-12"},"PeriodicalIF":0.0,"publicationDate":"2022-07-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48215778","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Symmetries, rational sphere maps, and complete polynomial sequences","authors":"J. D'Angelo","doi":"10.1007/s40627-022-00095-2","DOIUrl":"https://doi.org/10.1007/s40627-022-00095-2","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45909791","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
J. Brooks, Sean N. Curry, Dusty Grundmeier, Purvi Gupta, Valentin Kunz, A. Malcom, Kevin Palencia
{"title":"Constructing group-invariant CR mappings","authors":"J. Brooks, Sean N. Curry, Dusty Grundmeier, Purvi Gupta, Valentin Kunz, A. Malcom, Kevin Palencia","doi":"10.1007/s40627-022-00104-4","DOIUrl":"https://doi.org/10.1007/s40627-022-00104-4","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45124744","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Totally geodesic discs in bounded symmetric domains","authors":"Sung-Yeon Kim, Aeryeong Seo","doi":"10.1007/s40627-022-00098-z","DOIUrl":"https://doi.org/10.1007/s40627-022-00098-z","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":" ","pages":""},"PeriodicalIF":0.0,"publicationDate":"2022-02-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43678387","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Frank Kutzschebauch, Finnur Lárusson, Gerald W Schwarz
{"title":"Equivariant Oka theory: survey of recent progress.","authors":"Frank Kutzschebauch, Finnur Lárusson, Gerald W Schwarz","doi":"10.1007/s40627-022-00103-5","DOIUrl":"https://doi.org/10.1007/s40627-022-00103-5","url":null,"abstract":"<p><p>We survey recent work, published since 2015, on equivariant Oka theory. The main results described in the survey are as follows. Homotopy principles for equivariant isomorphisms of Stein manifolds on which a reductive complex Lie group <i>G</i> acts. Applications to the linearisation problem. A parametric Oka principle for sections of a bundle <i>E</i> of homogeneous spaces for a group bundle <math><mi>G</mi></math> , all over a reduced Stein space <i>X</i> with compatible actions of a reductive complex group on <i>E</i>, <math><mi>G</mi></math> , and <i>X</i>. Application to the classification of generalised principal bundles with a group action. Finally, an equivariant version of Gromov's Oka principle based on a notion of a <i>G</i>-manifold being <i>G</i>-Oka.</p>","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"8 3","pages":"15"},"PeriodicalIF":0.0,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9402526/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"33443716","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Normal form for pseudo-Einstein contact forms and intrinsic CR normal coordinates","authors":"K. Hirachi","doi":"10.1007/s40627-022-00101-7","DOIUrl":"https://doi.org/10.1007/s40627-022-00101-7","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"8 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2021-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43230179","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the structure of the ring of integer-valued entire functions","authors":"B. Amri","doi":"10.1007/s40627-023-00115-9","DOIUrl":"https://doi.org/10.1007/s40627-023-00115-9","url":null,"abstract":"","PeriodicalId":87237,"journal":{"name":"Complex analysis and its synergies","volume":"9 1","pages":"1-7"},"PeriodicalIF":0.0,"publicationDate":"2021-10-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42037741","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}