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Mathematics of the USSR-Sbornik, 1973, Volume 19, Issue 2, Pages 191–208
DOI: https://doi.org/10.1070/SM1973v019n02ABEH001745 (Mi sm3006) 		 
This article is cited in 2 scientific papers (total in 2 papers)

A filtration in the three-dimensional Cremona group

M. A. Frumkin
English version PDF (944 kB) Citations (2) Russian version article
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DOI: https://doi.org/10.1070/SM1973v019n02ABEH001745
Abstract: In this paper we introduce the concept of the genus of a birational mapping of nonsingular three-dimensional algebraic varieties over a field of characteristic 0 and prove that the automorphisms whose genus is at most a fixed number form a group. We also prove that a birational morphism of nonsingular three-dimensional varieties splits into a composition of a map which is an inverse to a morphism of genus 0 and monoidal transformations.
Bibliography: 9 titles.
Received: 18.05.1972
Bibliographic databases:
UDC: 513.015.7
MSC: 14E05
Language: English
Original paper language: Russian
Citation: M. A. Frumkin, “A filtration in the three-dimensional Cremona group”, Math. USSR-Sb., 19:2 (1973), 191–208
Citation in format AMSBIB
\Bibitem{Fru73}
\by M.~A.~Frumkin
\paper A~filtration in the three-dimensional Cremona group
\jour Math. USSR-Sb.
\yr 1973
\vol 19
\issue 2
\pages 191--208
\mathnet{http://mi.mathnet.ru//eng/sm3006}
\crossref{https://doi.org/10.1070/SM1973v019n02ABEH001745}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=327769}
\zmath{https://zbmath.org/?q=an:0254.14006}
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  • https://www.mathnet.ru/eng/sm/v132/i2/p196
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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