Blow-ups of canonical singularities

Details Blow-ups of canonical singularities Blow-ups of canonical singularities

1998-10-15

arxiv.org/abs/math/9810097v5

In Algebra (Moscow, 1998), pages 301-317. de Gruyter, Berlin, 2000

Mathematics

Algebraic Geometry

17 pages, LaTeX2e, few errors are corrected

Scientific paper

In this paper we apply Shokurov's inductive method to study terminal and
canonical singularities. As an easy consequence of the Minimal Model Program we
show that for any three-dimensional log terminal singularity there exists some
special, so called, plt blow-up. We discuss properties of them and construct
some examples.

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