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Mathematics of the USSR-Izvestiya, 1973, Volume 7, Issue 4, Pages 847–881
DOI: https://doi.org/10.1070/IM1973v007n04ABEH001978 (Mi im2323) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Formal modifications. Existence theorems for modifications of complex manifolds

V. A. Krasnov
English version PDF (1255 kB) Citations (5) Russian version article
References:
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DOI: https://doi.org/10.1070/IM1973v007n04ABEH001978
Abstract: For the existence of a nonsingular contraction (dilatation) of an analytic set on an n-dimensional complex manifold it is proved to be necessary and sufficient that there exist a formal nonsingular contraction (dilatation) of the analytic set.
Received: 20.12.1972
Bibliographic databases:
UDC: 513.6
MSC: 14B20, 32C45
Language: English
Original paper language: Russian
Citation: V. A. Krasnov, “Formal modifications. Existence theorems for modifications of complex manifolds”, Math. USSR-Izv., 7:4 (1973), 847–881
Citation in format AMSBIB
\Bibitem{Kra73}
\by V.~A.~Krasnov
\paper Formal modifications. Existence theorems for modifications of complex manifolds
\jour Math. USSR-Izv.
\yr 1973
\vol 7
\issue 4
\pages 847--881
\mathnet{http://mi.mathnet.ru/eng/im2323}
\crossref{https://doi.org/10.1070/IM1973v007n04ABEH001978}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=330504}
\zmath{https://zbmath.org/?q=an:0285.32009}
Linking options:
  • https://www.mathnet.ru/eng/im2323
  • https://doi.org/10.1070/IM1973v007n04ABEH001978
  • https://www.mathnet.ru/eng/im/v37/i4/p848
    • This publication is cited in the following 5 articles:
    1. Jürgen Bingener, “On the existence of analytic contractions”, Invent math, 64:1 (1981), 25  crossref  mathscinet  isi
    2. V. Ancona, G. Tomassini, “Th�or�mes d'existence pour les modifications analytiques”, Invent Math, 51:3 (1979), 271  crossref
    3. Jürgen Bingener, “Über formale komplexe Räume”, manuscripta math, 24:3 (1978), 253  crossref  mathscinet
    4. J. P. Ramis, Lecture Notes in Mathematics, 694, Séminaire Pierre Lelong — Henri Skoda (Analyse) Année 1976/77, 1978, 278  crossref
    5. V. A. Krasnov, “On the equivalence of imbeddings of complex spaces that can be blown down”, Math. USSR-Izv., 8:5 (1974), 1009–1032  mathnet  crossref  mathscinet  zmath
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Statistics & downloads:
    Abstract page:500
    Russian version PDF:100
    English version PDF:23
    References:60
    First page:1
     
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