• Corpus ID: 6437596

String Cohomology of a Toroidal Singularity

  title={String Cohomology of a Toroidal Singularity},
  author={Lev Borisov},
  journal={arXiv: Algebraic Geometry},
  • Lev Borisov
  • Published 10 February 1998
  • Mathematics
  • arXiv: Algebraic Geometry
We construct explicitly regular sequences in the semigroup ring $R=\CC[K]$ of lattice points of the graded cone $K$. We conjecture that the quotients of $R$ by these sequences describe locally string-theoretic cohomology of a toroidal singularity associated to $K$. As a byproduct, we give an elementary proof of the result of Hochster that semigroup rings of rational polyhedral cones are Cohen-Macaulay. 
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