  Based on observations of the depth of shower maximum performed with the
hybrid detector of the Auger Observatory, an upper limit on the cosmic-ray
photon fraction of 26% (at 95% confidence level) is derived for primary
energies above 10^19 eV. Additional observables recorded with the surface
detector array, available for a sub-set of the data sample, support the
conclusion that a photon origin of the observed events is not favoured.
