  This is the second of series of papers studyig moduli spaces of a certain
class of coherent sheaves, which we call stable perverse coherent sheaves, on
the blow-up of a projective surface at a point. The followings are main results
of this paper: a) We describe the wall-crossing between moduli spaces caused by
twisting of the line bundle associated with the exceptional divisor. b) We give
the formula for virtual Hodge numbers of moduli spaces of stable perverse
coherent sheaves.
  Moreover we also give proofs of the followings which we observed in a special
case in arXiv:0802.3120: c) The moduli space of stable perverse coherent
sheaves is isomorphic to the usual moduli space of stable coherent sheaves on
the original surface if the first Chern class is orthogonal to the exceptional
divisor. d) The moduli space becomes isomorphic to the usual moduli space of
stable coherent sheaves on the blow-up after twisting by sufficiently large
negative power of the line bundle associated with the exceptional curve.
  Therefore usual moduli spaces of stable sheaves on the blow-up and the
original surfaces are connected via wall-crossings.
