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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
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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
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\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
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    • This publication is cited in the following 1 articles:
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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