{"title":"Local Polynomial Convexity of the Union of two Tangential Totally Real Graphs in \\(\\mathbb {C}^3\\)","authors":"Mai The Tan, Kieu Phuong Chi","doi":"10.1007/s40306-025-00578-4","DOIUrl":null,"url":null,"abstract":"<div><p>In this note, we consider the local polynomial convexity of the union of totally real graphs in <span>\\(\\mathbb {C}^3\\)</span> having the same tangent spaces at the origin. We also construct examples showing that our results are quite sharp in some sense.</p></div>","PeriodicalId":45527,"journal":{"name":"Acta Mathematica Vietnamica","volume":"50 3","pages":"411 - 418"},"PeriodicalIF":0.6000,"publicationDate":"2025-08-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Acta Mathematica Vietnamica","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s40306-025-00578-4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
In this note, we consider the local polynomial convexity of the union of totally real graphs in \(\mathbb {C}^3\) having the same tangent spaces at the origin. We also construct examples showing that our results are quite sharp in some sense.
期刊介绍:
Acta Mathematica Vietnamica is a peer-reviewed mathematical journal. The journal publishes original papers of high quality in all branches of Mathematics with strong focus on Algebraic Geometry and Commutative Algebra, Algebraic Topology, Complex Analysis, Dynamical Systems, Optimization and Partial Differential Equations.