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.
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
\Bibitem{KamNak14}
\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
\mathnet{http://mi.mathnet.ru/tm3562}
\crossref{https://doi.org/10.1134/S0371968514030157}
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\transl
\jour Proc. Steklov Inst. Math.
\yr 2014
\vol 286
\pages 253--267
\crossref{https://doi.org/10.1134/S0081543814060157}
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https://www.mathnet.ru/eng/tm3562
https://doi.org/10.1134/S0371968514030157
https://www.mathnet.ru/eng/tm/v286/p275
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