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Supplement to classification of threefold divisorial contractions

Published online by Cambridge University Press:  11 January 2016

Masayuki Kawakita
Masayuki Kawakita*
Affiliation:
Research Institute for Mathematical Sciences Kyoto University, Kyoto 606-8502, Japan, masayuki@kurims.kyoto-u.ac.jp
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Abstract

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Every threefold divisorial contraction to a non-Gorenstein point is a weighted blowup.

Keywords

14E3014J30
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 206 , June 2012 , pp. 67 - 73
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2012

References

[1] Hayakawa, T., Blowing ups of 3-dimensional terminal singularities, Publ. Res. Inst. Math. Sci. 35 (1999), 515–570.Google Scholar
[2] Hayakawa, T., Blowing ups of 3-dimensional terminal singularities, II, Publ. Res. Inst. Math. Sci. 36 (2000), 423–456.CrossRefGoogle Scholar
[3] Hayakawa, T., Divisorial contractions to 3-dimensional terminal singularities with discrepancy one, J. Math. Soc. Japan 57 (2005), 651–668.CrossRefGoogle Scholar
[4] Kawakita, M., Divisorial contractions in dimension three which contract divisors to smooth points, Invent. Math. 145 (2001), 105–119.Google Scholar
[5] Kawakita, M., Divisorial contractions in dimension three which contract divisors to compound A1 points, Compos. Math. 133 (2002), 95–116.Google Scholar
[6] Kawakita, M., General elephants of threefold divisorial contractions, J. Amer. Math. Soc. 16 (2003), 331–362.CrossRefGoogle Scholar
[7] Kawakita, M., Three-fold divisorial contractions to singularities of higher indices, Duke Math. J. 130 (2005), 57–126.CrossRefGoogle Scholar
[8] Kawamata, Y., “Divisorial contractions to 3-dimensional terminal quotient singularities” in Higher-dimensional Complex Varieties (Trento, 1994), de Gruyter, Berlin, 1996, 241–246.Google Scholar
[9] Mori, S., On 3-dimensional terminal singularities, Nagoya Math. J. 98 (1985), 43–66.CrossRefGoogle Scholar