Ak. Raina, AN ALGEBRAIC-GEOMETRY VIEW OF CURRENTS IN A MODEL QUANTUM-FIELD THEORY ON A CURVE, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(9), 1994, pp. 851-856
Recently a unified proof of identities of Cauchy, Frobenius and Fay wa
s obtained from an algebro-geometric formulation of a model quantum fi
eld theory (QFT) on a curve. In this Note schemes with nilpotent eleme
nts are used for a global geometric deduction of the current correlati
on functions from the field correlation functions. Algebraic geometry
proofs of some classical formulas in function theory are also obtained
in the course of this study.