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 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.
- Publication:
-
arXiv Mathematics e-prints
- 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)
- E-Print:
- LaTeX, 10 pages