On classification of Mori contractions: Elliptic curve case

Abstract

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

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

References in corpus (1)

• Boundedness of non-birational extremal contractions