Uniqueness of plane embeddings of special curves |
| |
Authors: | Shreeram S Abhyankar Avinash Sathaye |
| |
Institution: | Department of Mathematics, Purdue University, West Lafayette, Indiana 47907 ; Department of Mathematics, University of Kentucky, Lexington, Kentucky 40506 |
| |
Abstract: | For a family of special affine plane curves, it is shown that their embeddings in the affine plane are unique up to automorphisms of the affine plane. Examples are also given for which the embedding is not unique. We also discuss the Lin-Zaidenberg estimate of the number of singular points of an irreducible curve in terms of its rank. Formulas concerning the rank of the curve lead to an alternate simpler version of the proof of the Epimorphism Theorem. |
| |
Keywords: | |
|
| 点击此处可从《Proceedings of the American Mathematical Society》浏览原始摘要信息 |
| 点击此处可从《Proceedings of the American Mathematical Society》下载免费的PDF全文 |