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arXiv · 1501.00129

Blow-ups of three-dimensional toric singularities

S. A. Kudryavtsev
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Abstract

The purely log terminal blow-ups of three-dimensional terminal toric singularities are described. The three-dimensional divisorial contractions $f\colon (Y,E)\to (X\ni P)$ 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.

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S. A. Kudryavtsev. 2014-12-31. Blow-ups of three-dimensional toric singularities. https://doi.org/10.1007/978-3-031-17859-7_22

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