Blow-ups of three-dimensional toric singularities

Abstract

The purely log terminal blow-ups of three-dimensional terminal toric singularities are described. The three-dimensional divisorial contractions $f:(Y,E)\to (X\ni P)$ are described provided that $\Exc f=E$ is an irreducible divisor, $(X\ni P)$ is a toric terminal singularity, $f(E)$ is a toric subvariety and $Y$ has canonical singularities.

In memory of Vasily Iskovskikh, errors are corrected

References in corpus (2)

• Divisorial contractions in dimension three which contract divisors to smooth points
• Classification of exceptional log Del Pezzo surfaces with delta=1