Trudy Matematicheskogo Instituta imeni V.A. Steklova
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

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Trudy Mat. Inst. Steklova:
Year:
Volume:
Issue:
Page:
Find




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

Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 286, Pages 308–330
DOI: https://doi.org/10.1134/S0371968514030170 (Mi tm3558) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Complex projective towers and their cohomological rigidity up to dimension six

Shintarô Kurokia, DongYoup Suhb

a The University of Tokyo, Tokyo, Japan
b Department of Mathematical Sciences, Korea Advanced Institute of Science and Technology, Yuseong-gu, Daejeon 305-701, Republic of Korea
Full-text PDF (301 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S0371968514030170
Abstract: A complex projective tower, or simply a $\mathbb C\mathrm P$-tower, is an iterated complex projective fibration starting from a point. In this paper we classify all six-dimensional $\mathbb C\mathrm P$-towers up to diffeomorphism, and as a consequence we show that all such manifolds are cohomologically rigid, i.e., they are completely determined up to diffeomorphism by their cohomology rings.
Received in September 2013
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 286, Pages 285–307
DOI: https://doi.org/10.1134/S0081543814060170
Bibliographic databases:
Document Type: Article
UDC: 515.165
Language: English
Citation: Shintarô Kuroki, DongYoup Suh, “Complex projective towers and their cohomological rigidity up to dimension six”, Algebraic topology, convex polytopes, and related topics, Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 286, MAIK Nauka/Interperiodica, Moscow, 2014, 308–330; Proc. Steklov Inst. Math., 286 (2014), 285–307
Citation in format AMSBIB
\Bibitem{KurSuh14}
\by Shintar\^o~Kuroki, DongYoup~Suh
\paper Complex projective towers and their cohomological rigidity up to dimension six
\inbook Algebraic topology, convex polytopes, and related topics
\bookinfo Collected papers. Dedicated to Victor Matveevich Buchstaber, Corresponding Member of the Russian Academy of Sciences, on the occasion of his 70th birthday
\serial Trudy Mat. Inst. Steklova
\yr 2014
\vol 286
\pages 308--330
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/tm3558}
\crossref{https://doi.org/10.1134/S0371968514030170}
\elib{https://elibrary.ru/item.asp?id=22020646}
\transl
\jour Proc. Steklov Inst. Math.
\yr 2014
\vol 286
\pages 285--307
\crossref{https://doi.org/10.1134/S0081543814060170}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000343605900017}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84919832549}
Linking options:
  • https://www.mathnet.ru/eng/tm3558
  • https://doi.org/10.1134/S0371968514030170
  • https://www.mathnet.ru/eng/tm/v286/p308
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
    Statistics & downloads:
    Abstract page:116
    Full-text PDF :46
    References:25
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024