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Russian Mathematical Surveys, 2005, Volume 60, Issue 1, Pages 27–94
DOI: https://doi.org/10.1070/RM2005v060n01ABEH000807 (Mi rm1388) 		 
This article is cited in 9 scientific papers (total in 10 papers)

Birational models and flips

V. A. Iskovskikha, V. V. Shokurovb

a Steklov Mathematical Institute, Russian Academy of Sciences
b Johns Hopkins University, Baltimore
English version PDF (830 kB) Citations (10)
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DOI: https://doi.org/10.1070/RM2005v060n01ABEH000807
Abstract: This survey treats two chapters in the theory of log minimal models, namely, the chapter on different notions of models in this theory and the chapter on birational flips, that is, log flips, mainly in dimension 3. Our treatment is based on ideas and results of the second author: his paper on log flips (and also on material from the University of Utah workshop) for the first chapter, and his paper on prelimiting flips (together with surveys of these results by Corti and Iskovskikh) for the second chapter, where a complete proof of the existence of log flips in dimension 3 is given. At present, this proof is the simplest one, and the authors hope that it can be understood by a broad circle of mathematicians.
Received: 15.10.2004
Russian version:
Uspekhi Matematicheskikh Nauk, 2005, Volume 60, Issue 1(361), Pages 29–98
DOI: https://doi.org/10.4213/rm1388
Bibliographic databases:
Document Type: Article
UDC: 512.6
MSC: Primary 14E30; Secondary 14E05, 14E15, 14C20, 14J30
Language: English
Original paper language: Russian
Citation: V. A. Iskovskikh, V. V. Shokurov, “Birational models and flips”, Uspekhi Mat. Nauk, 60:1(361) (2005), 29–98; Russian Math. Surveys, 60:1 (2005), 27–94
Citation in format AMSBIB
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    • This publication is cited in the following 10 articles:
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    References:75
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