The algorithm for the computation of sheaf cohomologies for line bundles on toric varieties presented in "Cohomology of Line Bundles: A Computational Algorithm" by Ralph Blumenhagen, Benjamin Jurke, Thorsten Rahn, and Helmut Roschy has been implemented in a convenient and high-performance C/C++ application called cohomCalg.

The optional cohomCalg Koszul extension serves as a Mathematica 7 frontend and allows for the easy computation of hypersurface and complete intersection cohomologies, following the material presented in "Cohomology of Line Bundles: Applications" by the same authors.