Hostname: page-component-cd9895bd7-mkpzs Total loading time: 0 Render date: 2024-12-23T23:38:17.538Z Has data issue: false hasContentIssue false

Supplement to classification of threefold divisorial contractions

Published online by Cambridge University Press:  11 January 2016

Masayuki Kawakita*
Affiliation:
Research Institute for Mathematical Sciences Kyoto University, Kyoto 606-8502, Japan, [email protected]
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

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

Keywords

Type
Research Article
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), 515570.Google Scholar
[2] Hayakawa, T., Blowing ups of 3-dimensional terminal singularities, II, Publ. Res. Inst. Math. Sci. 36 (2000), 423456.CrossRefGoogle Scholar
[3] Hayakawa, T., Divisorial contractions to 3-dimensional terminal singularities with discrepancy one, J. Math. Soc. Japan 57 (2005), 651668.CrossRefGoogle Scholar
[4] Kawakita, M., Divisorial contractions in dimension three which contract divisors to smooth points, Invent. Math. 145 (2001), 105119.Google Scholar
[5] Kawakita, M., Divisorial contractions in dimension three which contract divisors to compound A1 points, Compos. Math. 133 (2002), 95116.Google Scholar
[6] Kawakita, M., General elephants of threefold divisorial contractions, J. Amer. Math. Soc. 16 (2003), 331362.CrossRefGoogle Scholar
[7] Kawakita, M., Three-fold divisorial contractions to singularities of higher indices, Duke Math. J. 130 (2005), 57126.CrossRefGoogle Scholar
[8] Kawamata, Y., “Divisorial contractions to 3-dimensional terminal quotient singularities” in Higher-dimensional Complex Varieties (Trento, 1994), de Gruyter, Berlin, 1996, 241246.Google Scholar
[9] Mori, S., On 3-dimensional terminal singularities, Nagoya Math. J. 98 (1985), 4366.CrossRefGoogle Scholar