A new magnetic pairing mechanism is suggested between the spin-up and
spin-down holes confined to the two sublattices of an antiferromagnet.
The interaction of a hole with its spin environment is attributed to
the loss of the Heisenberg exchange interaction caused by the missing
electron. Singlet s-wave pairing is produced by the Froehlich interact
ion for the exchange of two magnons. For two holes of a pair occupying
nearest-neighbor sites, the exchange coupling favours d-wave pairing.
The T(c) results are discussed.