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Izvestiya: Mathematics, 2001, Volume 65, Issue 6, Pages 1169–1196
DOI: https://doi.org/10.1070/IM2001v065n06ABEH000366 (Mi im366) 		 
This article is cited in 22 scientific papers (total in 23 papers)

The first main theorem on complements: from global to local

Yu. G. Prokhorova, V. V. Shokurovb

a M. V. Lomonosov Moscow State University
b Johns Hopkins University
English version PDF (348 kB) Citations (23) Russian version article
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DOI: https://doi.org/10.1070/IM2001v065n06ABEH000366
Abstract: The purpose of this paper is to explain and generalize the methods of [24] (see also [18] and [19]). We establish that for local Fano contractions the existence of complements can be reduced to the existence of complements for projective Fano varieties of smaller dimension.
Received: 03.10.2000
Bibliographic databases:
Document Type: Article
MSC: 14E30, 14E05, 14J30
Language: English
Original paper language: Russian
Citation: Yu. G. Prokhorov, V. V. Shokurov, “The first main theorem on complements: from global to local”, Izv. Math., 65:6 (2001), 1169–1196
Citation in format AMSBIB
\Bibitem{ProSho01}
\by Yu.~G.~Prokhorov, V.~V.~Shokurov
\paper The first main theorem on complements: from global to local
\jour Izv. Math.
\yr 2001
\vol 65
\issue 6
\pages 1169--1196
\mathnet{http://mi.mathnet.ru/eng/im366}
\crossref{https://doi.org/10.1070/IM2001v065n06ABEH000366}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1892905}
\zmath{https://zbmath.org/?q=an:1068.14018}
\elib{https://elibrary.ru/item.asp?id=13378617}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33746493639}
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  • https://www.mathnet.ru/eng/im/v65/i6/p99
    • This publication is cited in the following 23 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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