Mathematics – Algebraic Geometry
Scientific paper
1997-02-15
J. Math. Sci. (New York), 95(1): 1986--1995, 1999
Mathematics
Algebraic Geometry
LaTeX2e
Scientific paper
In this paper we study a local structure of extrmal contractions $f\colon
X\to S$ from threffolds $X$ with only terminal singularities onto a surface
$S$. If the surface $S$ is non-singular and $X$ has a unique non-Gorenstein
point on a fiber we prove that either the linear system $|-K_X|$, $|-2K_X|$ or
$|-3K_X|$ contains a "good" divisor.
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