The period integrals of non-singular complex algebraic curves in C-2 are sh
own to satisfy a set of polynomial relations that can be used to formulate
the corresponding the Picard-Fuchs equations. Their derivation employs elem
entary mathematical techniques that have also found application in the cont
ext of Seiberg-Witten theories. (C) 1999 Elsevier Science B.V. All rights r
eserved. Subj. Class.: Strings 1991 MSG: 81T30.