Computational Tools for Cohomology of Toric Varieties

  title={Computational Tools for Cohomology of Toric Varieties},
  author={Ralph Blumenhagen and Benjamin Jurke and Thorsten Rahn},
Novel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination of the dimension of line-bundle-valued cohomology groups on toric varieties. Applications to the computation of chiral massless matter spectra in string compactifications are discussed, and using the software package cohomCalg, its utility is… 

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