SOME REMARKS ON THE JACOBIAN QUESTION

被引：13

作者：

ABHYANKAR, SS ^{[1
]}

机构：

[1] PURDUE UNIV,DEPT MATH,W LAFAYETTE,IN 47907

来源：

PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 1994年 / 104卷 / 03期

关键词：

PLANE CURVES; JACOBIAN; AUTOMORPHISM; NEWTON-PUISEUX EXPANSION;

D O I：

10.1007/BF02867118

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This revised version of Abhyankar's old lecture notes contains the original proof of the Galois case of the n-variable Jacobian problem. They also contain proofs for some cases of the 2-variable Jacobian, including the two characteristics pairs case. In addition, proofs of some of the well-known formulas enunciated by Abhyankar are actually written down. These include the Taylor Resultant Formula and the Semigroup Conductor formula for plane curves. The notes are also meant to provide inspiration for applying the expansion theoretic techniques to the Jacobian problem.

引用

页码：515 / 542

页数：28

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