  A microscopic theory of superconductivity is formulated within an effective
$p$-$d$ Hubbard model for a CuO2 plane. By applying the Mori-type projection
technique, the Dyson equation is derived for the Green functions in terms of
Hubbard operators. The antiferromagnetic exchange caused by interband hopping
results in pairing of all carries in the conduction subband and high Tc
proportional to the Fermi energy. Kinematic interaction in intraband hopping is
responsible for the conventional spin-fluctuation pairing. Numerical solution
of the gap equation proves the d-wave gap symmetry and defines Tc doping
dependence. Oxygen isotope shift and pressure dependence of Tc are also
discussed.
