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

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

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.

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Veröffentlicht in:Compositio mathematica 2002-08, Vol.133 (1), p.95-116
1. Verfasser: Kawakita, Masayuki
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:0010-437X
1570-5846
DOI:10.1023/A:1016334006624