On Extremal Contractions from Threefolds to Surfaces: the Case of One non-Gorenstein Point

Mathematics – Algebraic Geometry

Scientific paper

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LaTeX2e, to appear in Contemporary Math. AMS

Scientific paper

Let $f\colon X\to S$ be an extremal contraction from a threefold with only
terminal singularities to a surface. We study local analytic structure such
contractions near degenerate fiber $C$ in the case when $C$ is irreducible and
$X$ has on $C$ only one non-Gorenstein point.

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