We construct explicitly regular sequences in the semigroup ring R = C[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.
|Original language||English (US)|
|Number of pages||12|
|Journal||Journal of Algebraic Geometry|
|State||Published - Apr 2000|
All Science Journal Classification (ASJC) codes
- Algebra and Number Theory
- Geometry and Topology