On classification of Mori contractions: Elliptic curve case

Details On classification of Mori contractions: Elliptic curve case On classification of Mori contractions: Elliptic curve case

2000-06-28

arxiv.org/abs/math/0006215v2

Izvestiya Math. Russian Acad. Sci., 65(1):75-84, 2001

Mathematics

Algebraic Geometry

LaTex2e, 14 pages, new version, the case of singular curves of genus one added

Scientific paper

We study Mori's three-dimensional contractions $f\colon X\to Z$. It is proved
that on the ``good'' model $(\bar X,\bar S)$ the exceptional divisor has no
elliptic components of $Diff_{\bar S}$ with coefficients $\ge 6/7$.

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