Rafael B. Andrist, Gaofeng Huang, Frank Kutzschebauch, Josua Schott
{"title":"Parametric Symplectic Jet Interpolation","authors":"Rafael B. Andrist, Gaofeng Huang, Frank Kutzschebauch, Josua Schott","doi":"arxiv-2407.17581","DOIUrl":null,"url":null,"abstract":"We prove a parametric jet interpolation theorem for symplectic holomorphic\nautomorphisms of $\\mathbb{C}^{2n}$ with parameters in a Stein space. Moreover,\nwe provide an example of an unavoidable set for symplectic holomorphic maps.","PeriodicalId":501142,"journal":{"name":"arXiv - MATH - Complex Variables","volume":"46 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-07-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Complex Variables","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2407.17581","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We prove a parametric jet interpolation theorem for symplectic holomorphic
automorphisms of $\mathbb{C}^{2n}$ with parameters in a Stein space. Moreover,
we provide an example of an unavoidable set for symplectic holomorphic maps.