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Divisorial Contractions in Dimension Three which Contract Divisors to Compound A1 Points

Published online by Cambridge University Press:  04 December 2007

Masayuki Kawakita
Masayuki Kawakita
Affiliation:
Department of Mathematical Sciences, University of Tokyo, Komaba, Meguro, Tokyo 153-8914, Japan. E-mail: kawakita@ms.u-tokyo.ac.jp
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Abstract

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We deal with a divisorial contraction in dimension three which contracts its exceptional divisor to a compound A1 point. We prove that any such contraction is obtained by a suitable weighted blow-up.

Keywords

divisorial contraction

Information

Type
Research Article
Information
Compositio Mathematica , Volume 133 , Issue 1 , August 2002 , pp. 95 - 116
Copyright
© 2002 Kluwer Academic Publishers