{"title":"用poincarcars—Hopf公式求解复杂代数平面曲线。3余维数范围","authors":"Maciej Borodzik, H. Zoladek","doi":"10.1215/KJM/1250271383","DOIUrl":null,"url":null,"abstract":"This work is a continuation of the papers [BZ1] and [BZ2]. Here we prove some estimates for the sum of codimensions of singularities of affine planar rational curves. Acknowledgements. We want to thank Mariusz Koras, Zbigniew Je-lonek, Stepan Orevkov and Peter Russell for their interest in our work and interesting discussions.","PeriodicalId":50142,"journal":{"name":"Journal of Mathematics of Kyoto University","volume":"48 1","pages":"529-570"},"PeriodicalIF":0.0000,"publicationDate":"2008-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"12","resultStr":"{\"title\":\"Complex algebraic plane curves via Poincaré--Hopf formula. III. Codimension bounds\",\"authors\":\"Maciej Borodzik, H. Zoladek\",\"doi\":\"10.1215/KJM/1250271383\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This work is a continuation of the papers [BZ1] and [BZ2]. Here we prove some estimates for the sum of codimensions of singularities of affine planar rational curves. Acknowledgements. We want to thank Mariusz Koras, Zbigniew Je-lonek, Stepan Orevkov and Peter Russell for their interest in our work and interesting discussions.\",\"PeriodicalId\":50142,\"journal\":{\"name\":\"Journal of Mathematics of Kyoto University\",\"volume\":\"48 1\",\"pages\":\"529-570\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2008-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"12\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematics of Kyoto University\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1215/KJM/1250271383\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"Mathematics\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematics of Kyoto University","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1215/KJM/1250271383","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"Mathematics","Score":null,"Total":0}
引用次数: 12
摘要
本工作是论文[BZ1]和[BZ2]的延续。本文证明了仿射平面有理曲线奇点余维数和的一些估计。致谢我们要感谢Mariusz Koras, Zbigniew Je-lonek, Stepan Orevkov和Peter Russell对我们的工作和有趣的讨论感兴趣。
Complex algebraic plane curves via Poincaré--Hopf formula. III. Codimension bounds
This work is a continuation of the papers [BZ1] and [BZ2]. Here we prove some estimates for the sum of codimensions of singularities of affine planar rational curves. Acknowledgements. We want to thank Mariusz Koras, Zbigniew Je-lonek, Stepan Orevkov and Peter Russell for their interest in our work and interesting discussions.
期刊介绍:
Papers on pure and applied mathematics intended for publication in the Kyoto Journal of Mathematics should be written in English, French, or German. Submission of a paper acknowledges that the paper is original and is not submitted elsewhere.