  Kuznetsov and Polishchuk provided a general algorithm to construct
exceptional collections of maximal length for homogeneous varieties of type
A,B,C,D. We consider the case of the spinor tenfold and we prove that the
corresponding collection is full, i.e. it generates the whole derived category
of coherent sheaves. As a step of the proof, we construct some resolutions of
homogeneous vector bundles which might be of independent interest.
