The ab initio pseudopotential method within the local-density approxim
ation and the quasiparticle approach have been used to investigate the
electronic excitation properties of hexagonal (6H, 4H, 2H) and zinc-b
lende (3C) silicon carbide. The quasiparticle shifts added to the dens
ity-functional eigenvalues are calculated using a model dielectric fun
ction and an approximate treatment of the electron self-energy concern
ing local-field effects and dynamical screening. The inverse dielectri
c function and the auxiliary function are generalized to hexagonal cry
stals. Good agreement with the experimental results is obtained for th
e minimum indirect energy gaps. The k space location of the correspond
ing conduction-band minima is clarified. Other excitation energies are
predicted. The influence of the quasiparticle effects on band discont
inuities and the electron effective masses is studied.