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Russian Academy of Sciences. Izvestiya Mathematics, 1994, Volume 42, Issue 2, Pages 371–425
DOI: https://doi.org/10.1070/IM1994v042n02ABEH001541 (Mi im882) 		 
This article is cited in 9 scientific papers (total in 9 papers)

Semistable 3-fold flips

V. V. Shokurov

Johns Hopkins University
English version PDF (3176 kB) Citations (9) Russian version article
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DOI: https://doi.org/10.1070/IM1994v042n02ABEH001541
Abstract: We prove that 3-fold semistable flips exist. We give the complete list of 3-fold semistable singularities.
Bibliographic databases:
Document Type: Article
UDC: 512.7
MSC: 14E05, 14E35, 14J30
Language: English
Original paper language: English
Citation: V. V. Shokurov, “Semistable 3-fold flips”, Russian Acad. Sci. Izv. Math., 42:2 (1994), 371–425
Citation in format AMSBIB
\Bibitem{Sho93}
\by V.~V.~Shokurov
\paper Semistable 3-fold flips
\jour Russian Acad. Sci. Izv. Math.
\yr 1994
\vol 42
\issue 2
\pages 371--425
\mathnet{http://mi.mathnet.ru/eng/im882}
\crossref{https://doi.org/10.1070/IM1994v042n02ABEH001541}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1230971}
\zmath{https://zbmath.org/?q=an:0860.14016}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1994IzMat..42..371S}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1994NT25700006}
Linking options:
  • https://www.mathnet.ru/eng/im882
  • https://doi.org/10.1070/IM1994v042n02ABEH001541
  • https://www.mathnet.ru/eng/im/v57/i2/p165
    • This publication is cited in the following 9 articles:
    1. Jingjun Han, Jihao Liu, “On termination of flips and exceptionally noncanonical singularities”, Geom. Topol., 29:1 (2025), 399  crossref
    2. Lukas Braun, Daniel Greb, Kevin Langlois, Joaquín Moraga, “Reductive quotients of klt singularities”, Invent. math., 237:3 (2024), 1643  crossref
    3. Brian Lehmann, Proceedings of Symposia in Pure Mathematics, 95, Surveys on Recent Developments in Algebraic Geometry, 2017, 1  crossref
    4. Yu. G. Prokhorov, “On Semistable Mori Conic Bundles”, Journal of Mathematical Sciences (New York), 131:6 (2005), 6140  crossref  mathscinet  zmath
    5. V. A. Iskovskikh, V. V. Shokurov, “Birational models and flips”, Russian Math. Surveys, 60:1 (2005), 27–94  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    6. Yu. G. Prokhorov, “On semistable Mori contractions”, Izv. Math., 68:2 (2004), 365–374  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    7. Proc. Steklov Inst. Math., 240 (2003), 75–213  mathnet  mathscinet  zmath
    8. Yu. G. Prokhorov, “A remark on the resolution of three-dimensional terminal singularities”, Russian Math. Surveys, 57:4 (2002), 815–816  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    9. I. A. Cheltsov, “On a smooth quintic 4-fold”, Sb. Math., 191:9 (2000), 1399–1419  mathnet  crossref  crossref  mathscinet  zmath  isi
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:351
    Russian version PDF:202
    English version PDF:17
    References:58
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