主 题: Curves in foliated plane
报告人: Prof. M. Zhitomirskii (以色列理工学院数学系)
时 间: 2007-10-10 下午 2:30
地 点: 二教1529
The talk is devoted to the classification of non-singular and singular plane curve germs with respect to the group of local diffeomorphisms preserving the foliation of the plane by the phase curves of a fixed vector field, either non-singular or singular. We define the multiplicity of a pair consisting of a plane curve and a vector field and prove an analogous o f the Tougeron theorem on the finite determinacy. It leads, almost immediately, to a number of classification results.
