Nucleation of superconducting phase in proximity coupled superconducto
r(SC)-antiferromagnetic(AF) multilayers is studied theoretically. For
SC layer we use the usual Usadel equations. As an AF layer we consider
a normal metal which undergos the magnetic phase transition associate
d with the nesting electron and hole Fermi surfaces. The basic formali
sm, suitable for study of the SC phase of the SC/AF system is presente
d. The superconducting transition temperature, T-c, and upper critical
fields, H-c2 parallel to(T) and H-c2 perpendicular to(T) have been ca
lculated.