paper

String Cohomology of a Toroidal Singularity

arXiv:math/9802052

Abstract

We construct explicitly regular sequences in the semigroup ring $R=\CC[K]$ of lattice points of the graded cone . We conjecture that the quotients of by these sequences describe locally string-theoretic cohomology of a toroidal singularity associated to . As a byproduct, we give an elementary proof of the result of Hochster that semigroup rings of rational polyhedral cones are Cohen-Macaulay.

LaTeX, 10 pages

String Cohomology of a Toroidal Singularity · wovepaper