In this paper,we present a constructive proof of Lueroth’s theorem in differential case.We also give a method to fing the inversion maps for general differential rational parametric equations.As a consequence,we prov...In this paper,we present a constructive proof of Lueroth’s theorem in differential case.We also give a method to fing the inversion maps for general differential rational parametric equations.As a consequence,we prove that a differential rational curve always has a set of proper parametric equations.展开更多
基金This research is supported in part by CNSF under an Outstanding Youth Grant(No. 69725002) by a "973" Project.
文摘In this paper,we present a constructive proof of Lueroth’s theorem in differential case.We also give a method to fing the inversion maps for general differential rational parametric equations.As a consequence,we prove that a differential rational curve always has a set of proper parametric equations.
