2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76596We 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.LaTeX, 10 pagesAlgebraic GeometryCommutative Algebra14M25 (Primary) 13C14 (Secondary)text