String Cohomology of a Toroidal Singularity
Abstract
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 stringtheoretic 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 CohenMacaulay.
 Publication:

arXiv Mathematics eprints
 Pub Date:
 February 1998
 DOI:
 10.48550/arXiv.math/9802052
 arXiv:
 arXiv:math/9802052
 Bibcode:
 1998math......2052B
 Keywords:

 Algebraic Geometry;
 Commutative Algebra;
 14M25 (Primary) 13C14 (Secondary)
 EPrint:
 LaTeX, 10 pages