Soft Gluon Resummation for Polarized Deep-inelastic Production of Heavy Quarks

We present the threshold resummation for the cross section of heavy quark production in polarized deep-inelastic scattering to next-to-leading logarithmic accuracy and in single-particle inclusive kinematics. We expand our resummed result in alpha_s to next-to-leading and next-to-next-to-leading order and study the impact of these higher order corrections on the charm structure function g_1 in the kinematical range accessible to the HERMES and COMPASS experiments.