  We present a calculation of soft-gluon corrections in FCNC top-quark
production via anomalous $t$-$q$-$g$ couplings. The soft anomalous dimension
matrix is explicitly calculated at one-loop accuracy. This calculation allows
threshold resummation at next-to-leading-logarithm accuracy. We also derive
expressions for the soft-gluon corrections at NLO and at NNLO.
