1002.0181Feb 1, 2010This paper has been withdrawn by the author due to a crucial error, which was pointed out by a referee. The error lies in the assertion in page 8 that $\mathfrak{C}_{G}$ is a translation of the cone $\mathfrak{C}$. It is not a cone in general. Accordingly an assertion about the preservation of projective modules over a noncommutative ring associated to a toric singularity is no longer valid
Noncommutative resolution of toric singularities: An application of Frobenius morphism of noncommutative blowup
Takehiko Yasuda
Abstract
Using Frobenius morphisms of noncommutative blowups, we prove that every normal toric singularity has a standard noncommutative resolution.