Sbornik: Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Sb.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Sbornik: Mathematics, 1998, Volume 189, Issue 9, Pages 1295–1333
DOI: https://doi.org/10.1070/sm1998v189n09ABEH000349 (Mi sm349) 		 
This article is cited in 11 scientific papers (total in 11 papers)

Deformations of non-compact complex curves and envelopes of meromorphy of spheres

S. M. Ivashkovicha, V. V. Shevchishinb

a University of Sciences and Technologies
b Ruhr-Universität Bochum
English version PDF (1394 kB) Citations (11)
References:
PDF
HTML
DOI: https://doi.org/10.1070/sm1998v189n09ABEH000349
Abstract: The paper discusses the properties of the envelopes of meromorphy of neighbourhoods of symplectically immersed two-spheres in complex Kahler surfaces. The method used to study the envelopes of meromorphy is based on Gromov's theory of pseudoholomorphic curves. The exposition includes a construction of a complete family of holomorphic deformations of a non-compact complex curve in a complex manifold parametrized by a finite-codimensional analytic subset of a Banach ball. The existence of this family is used to prove a generalization of Levi's continuity principle, which is applied to describe envelopes of meromorphy.
Received: 23.01.1998
Russian version:
Matematicheskii Sbornik, 1998, Volume 189, Number 9, Pages 23–60
DOI: https://doi.org/10.4213/sm349
Bibliographic databases:
UDC: 517.55+515.17
MSC: Primary 32D10, 58F05; Secondary 32A20, 53C15
Language: English
Original paper language: Russian
Citation: S. M. Ivashkovich, V. V. Shevchishin, “Deformations of non-compact complex curves and envelopes of meromorphy of spheres”, Mat. Sb., 189:9 (1998), 23–60; Sb. Math., 189:9 (1998), 1295–1333
Citation in format AMSBIB
\Bibitem{IvaShe98}
\by S.~M.~Ivashkovich, V.~V.~Shevchishin
\paper Deformations of non-compact complex curves and envelopes of meromorphy of spheres
\jour Mat. Sb.
\yr 1998
\vol 189
\issue 9
\pages 23--60
\mathnet{http://mi.mathnet.ru/sm349}
\crossref{https://doi.org/10.4213/sm349}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1680860}
\zmath{https://zbmath.org/?q=an:0920.32012}
\transl
\jour Sb. Math.
\yr 1998
\vol 189
\issue 9
\pages 1295--1333
\crossref{https://doi.org/10.1070/sm1998v189n09ABEH000349}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000078221100002}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-0040689531}
Linking options:
  • https://www.mathnet.ru/eng/sm349
  • https://doi.org/10.1070/sm1998v189n09ABEH000349
  • https://www.mathnet.ru/eng/sm/v189/i9/p23
    • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1992–2005 Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:489
    Russian version PDF:211
    English version PDF:30
    References:63
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024