Moscow Mathematical Journal
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2012, Volume 12, Number 1, Pages 149–172
DOI: https://doi.org/10.17323/1609-4514-2012-12-1-149-172 (Mi mmj451) 		 
This article is cited in 22 scientific papers (total in 22 papers)

Complex-analytic structures on moment-angle manifolds

Taras Panovabc, Yuri Ustinovskya

a Department of Mathematics and Mechanics, Moscow State University, Moscow, Russia,
b Institute for Information Transmission Problems, Russian Academy of Sciences
c Institute for Theoretical and Experimental Physics, Moscow, Russia,
Full-text PDF Citations (22)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2012-12-1-149-172
Abstract: We show that the moment-angle manifolds corresponding to complete simplicial fans admit non-Kähler complex-analytic structures. This generalises the known construction of complex-analytic structures on polytopal moment-angle manifolds, coming from identifying them as LVM-manifolds. We proceed by describing Dolbeault cohomology and some Hodge numbers of moment-angle manifolds by applying the Borel spectral sequence to holomorphic principal bundles over toric varieties.
Key words and phrases: moment-angle manifold, simplicial fan, simple polytope, complex structure, Dolbeault cohomology, Hodge numbers.
Received: September 3, 2010; in revised form March 1, 2011
Bibliographic databases:
Document Type: Article
MSC: 32J18, 32L05, 32Q55, 57R19, 14M25
Language: English
Citation: Taras Panov, Yuri Ustinovsky, “Complex-analytic structures on moment-angle manifolds”, Mosc. Math. J., 12:1 (2012), 149–172
Citation in format AMSBIB
\Bibitem{PanUst12}
\by Taras~Panov, Yuri~Ustinovsky
\paper Complex-analytic structures on moment-angle manifolds
\jour Mosc. Math.~J.
\yr 2012
\vol 12
\issue 1
\pages 149--172
\mathnet{http://mi.mathnet.ru/mmj451}
\crossref{https://doi.org/10.17323/1609-4514-2012-12-1-149-172}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2952429}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000309364900008}
Linking options:
  • https://www.mathnet.ru/eng/mmj451
  • https://www.mathnet.ru/eng/mmj/v12/i1/p149
    • This publication is cited in the following 22 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:464
    References:88
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024