International Journal of Mathematics and Mathematical Sciences
Volume 2 (1979), Issue 4, Pages 615-626
doi:10.1155/S0161171279000466
Differentials of the 2nd kind on a product surface
Department of Mathematics, Southern Illinois University, Carbondale 62901, Illinois, USA
Received 15 January 1979
Copyright © 1979 J. C. Wilson. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.