====== TTP96-24 QCD Corrections to Jet Cross Sections in DIS ====== Next-to-leading order corrections to jet cross sections in deep inelastic scattering at HERA are studied. The predicted jet rates allow for a precise determination of $\alpha_s(\mu_R)$ at HERA over a wide range of $\mu_R$. We argue, that the ``natural'' renormalization and factorization scale is set by the average $k_T^B$ of the jets in the Breit frame and suggest to divide the data in corresponding $$ intervals. Some implications for the determination of the gluon density and the associated forward jet production in the low $x$ regime at HERA are briefly discussed. |**Erwin Mirkes and Dieter Zeppenfeld** | |** Nucl. Phys. B (Proc. Suppl.) 51C 273-278 1996 ** | | {{preprints:1996:ttp96-24.pdf|PDF}} {{preprints:1996:ttp96-24.ps|PostScript}} | | |