Divisorial contractions in dimension three which contract divisors to smooth points

Mathematics – Algebraic Geometry

Scientific paper

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16 pages, the explanation of the Sarkisov program in 0. Introduction is corrected

Scientific paper

10.1007/s002220100144

We deal with a divisorial contraction in dimension 3 which contracts its
exceptional divisor to a smooth point. We prove that any such contraction can
be obtained by a suitable weighted blow-up.

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