International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 4, Pages 615-626
doi:10.1155/S0161171279000466

Differentials of the second kind on a product surface

Abstract

This paper deals with the problems of representing an arbitrary double differential of the second kind, defined on a surface which is the topological product of two curves, in terms of the products of simple differentials of the second kind on the two curves. The curves are assumed to be non-singular and irreducible in a complex projective 2-space.