The purpose of our investigation is to develop Klein's program for algebraicgeometrical problems. The 2-dimensional Jacobian conjecture is taken as test problem for the development of Klein's program. This preliminary paper contains a discription of two approaches to the 2-dimensional Jacobian conjecture via Klein's program. Klein's program consists of the following two steps. (1) A reformulation of an algebraic geometrical problem into an invariant theoretical problem. (2) A solution of the invariant theoretical problem. Note that usually there are many invariant theoretical reformulations of an algebraic geometrical problem.
展开▼
