✦ LIBER ✦
On group structure associated to Jacobian pairs with mixed leading forms
✍ Scribed by Hai-chau Chang; Lih-chung Wang
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 447 KB
- Volume
- 119
- Category
- Article
- ISSN
- 0022-4049
No coin nor oath required. For personal study only.
✦ Synopsis
Abhyankar had shown that in order to solve the Jacobian Conjecture, it suffices to rule out the existence of Jacobian pairs with mixed leading form. Assume that such a pair {,f,g} exists. Following Abhyankar, consider the Laurent series expansion of {f,g} at infinity. Part of the coefficients of the series becomes invariants of certain group action. We also obtain several old results proved by Moh by investigating the associated group action. @ 1997