We present a computation of one- and two-jet cross sections in polarized ph
oton-hadron collisions, which is accurate to next-to-leading order in QCD.
Our results can be used to compute photoproduction cross sections in electr
on-proton scattering. To this purpose, we investigate the structure of the
polarized Weizsacker-Williams function, where we include a universal, non-l
ogarithmic term, neglected in the literature. We construct a Monte Carlo co
de, within the framework of the subtraction method, and we use it to study
the phenomenology of jet production in the energy range relevant to HERA. I
n particular, we investigate the perturbative stability of our results, and
we discuss the possibility of constraining polarized parton densities of t
he proton and the photon using jet data. (C) 1999 Published by Elsevier Sci
ence B.V. All rights reserved.