PageHeader : Funkcialaj Ekvacioj, 30 (1987) 283-303 Title : Geometry of Analytic Space Curves with Singularities Title : and Regular Singularities of Differential Equations AuthorInfo : By AuthorInfo : Takao SASAI AuthorInfo : (Tokyo Metropolitan University, Japan) AuthorInfo : Dedicated to my teacher, Professor Morio Obata, for his sixtieth anniversary section : Introduction section : 1. Local uniformizing parameters section : 2. Orthogonal frame and the first fundamental theorem section : 3. Regular singularity ? singularity of the first kind section : 4. Regular singularity ? singularity of the second kind section : 5. The existence of locally uniformizable curves section : 6. The orthogonality of frames and the second fundamental theorem section : References