Cohomology of Line Bundles: A Computational Algorithm

Authors:
  • RBRalph Blumenhagen
    Ralph Blumenhagen
  • BJBenjamin Jurke
    Benjamin Jurke
  • TRThorsten Rahn
    Thorsten Rahn
  • HRHelmut Roschy
    Helmut Roschy
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Abstract
We present an algorithm for computing line bundle valued cohomology classes over toric varieties. This is the basic starting point for computing massless modes in both heterotic and Type IIB/F-theory compactifications, where the manifolds of interest are complete intersections of hypersurfaces in toric varieties supporting additional vector bundles.