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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 264, Pages 184–208 (Mi tm799)  
This article is cited in 15 scientific papers (total in 15 papers)

Letters of a Bi-rationalist. VII Ordered Termination

V. V. Shokurovab

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Department of Mathematics, Johns Hopkins University, Baltimore, USA
Full-text PDF (339 kB) Citations (15)
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Abstract: To construct a resulting model in the LMMP, it is sufficient to prove the existence of log flips and their termination for some sequences. We prove that the LMMP in dimension $d-1$ and the termination of terminal log flips in dimension $d$ imply, for any log pair of dimension $d$, the existence of a resulting model: a strictly log minimal model or a strictly log terminal Mori log fibration, and imply the existence of log flips in dimension $d+1$. As a consequence, we prove the existence of a resulting model of 4-fold log pairs, the existence of log flips in dimension 5, and Geography of log models in dimension 4.
Received in August 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 264, Pages 178–200
DOI: https://doi.org/10.1134/S0081543809010192
Bibliographic databases:
Document Type: Article
UDC: 512.7
Language: Russian
Citation: V. V. Shokurov, “Letters of a Bi-rationalist. VII Ordered Termination”, Multidimensional algebraic geometry, Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences, Trudy Mat. Inst. Steklova, 264, MAIK Nauka/Interperiodica, Moscow, 2009, 184–208; Proc. Steklov Inst. Math., 264 (2009), 178–200
Citation in format AMSBIB
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\by V.~V.~Shokurov
\paper Letters of a~Bi-rationalist. VII~Ordered Termination
\inbook Multidimensional algebraic geometry
\bookinfo Collected papers. Dedicated to the Memory of Vasilii Alekseevich Iskovskikh, Corresponding Member of the Russian Academy of Sciences
\serial Trudy Mat. Inst. Steklova
\yr 2009
\vol 264
\pages 184--208
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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