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JOURNALS // Trudy Matematicheskogo Instituta imeni V.A. Steklova // Archive

Trudy Mat. Inst. Steklova, 2014 Volume 286, Pages 275–290 (Mi tm3562)

This article is cited 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

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.

UDC: 515.165.2

Received in February 2013

Language: English

DOI: 10.1134/S0371968514030157


 English version:
Proceedings of the Steklov Institute of Mathematics, 2014, 286, 253–267

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