Proceedings of the American Mathematical Society

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ISSN 1088-6826(e) ISSN 0002-9939(p)

Classification of extremal contractions from smooth fourfolds of -type

Author(s): Hiromichi Takagi
Journal: Proc. Amer. Math. Soc. 127 (1999), 315-321.
MSC (1991): Primary 14E30; Secondary 14J35
MathSciNet review: 1637436
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Abstract: We investigate divisorial contractions of extremal rays from
smooth fourfolds. When the exceptional divisor is contracted to a curve, we prove that the divisor is a $\mathbb{P}^{2}$ -bundle or quadric bundle over a smooth curve and the contraction is the blowing up along the curve. Furthermore we determine the local analytic structure of the contraction.

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