On the Cohomology of Twisting Sheaves on Toric Varieties
  Using the homogeneous coordinate ring construction of a toric variety IP defined by a complete simplicial fan and the methods of local cohomology theory we develop a framework for the calculation of cohomology groups H^{*}(IP, O(p)) of twisting sheaves O(p) on IP. 
M. Nikbakht-Tehrani