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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 286, Pages 275–290
DOI: https://doi.org/10.1134/S0371968514030157 (Mi tm3562) 		 
This article is cited in 1 scientific paper (total in 1 paper)

On the holomorphic torus-Bott tower of aspherical manifolds

Yoshinobu Kamishima, Mayumi Nakayama

Department of Mathematics and Information Sciences, Tokyo Metropolitan University, Tokyo, Japan
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DOI: https://doi.org/10.1134/S0371968514030157
Abstract: We introduce a notion of holomorphic torus-Bott tower which is an iterated holomorphic Seifert fiber space with fiber a complex torus. This is thought of as a holomorphic version of a real Bott tower. The top space of the holomorphic torus-Bott tower is called a holomorphic torus-Bott manifold. We discuss the structure of holomorphic torus-Bott manifolds and particularly the holomorphic rigidity of holomorphic torus-Bott manifolds.
Received in February 2013
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 286, Pages 253–267
DOI: https://doi.org/10.1134/S0081543814060157
Bibliographic databases:
Document Type: Article
UDC: 515.165.2
Language: English
Citation: Yoshinobu Kamishima, Mayumi Nakayama, “On the holomorphic torus-Bott tower of aspherical manifolds”, 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, 275–290; Proc. Steklov Inst. Math., 286 (2014), 253–267
Citation in format AMSBIB
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\by Yoshinobu~Kamishima, Mayumi~Nakayama
\paper On the holomorphic torus-Bott tower of aspherical manifolds
\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 275--290
\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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