On the real secondary classes of transversely holomorphic foliations. II
type: Item
instance of: scholarly article
title: On the real secondary classes of transversely holomorphic foliations. II
zbMATH Open document ID: 1049.58023
author: Taro Asuke
published in: Tôhoku Mathematical Journal. Second Series
publication date: 2004-03-07T00:00:00Z
review text: In his further study of the real secondary classes of transversely holomorphic foliations, the author describes completely the mapping which relates the real secondary classes to the complex secondary classes when the codimension of the foliation is either 2 or 3, thus extending the results known for the codimension one found by him in the first part [Ann. Inst. Fourier 50, No. 3, 995--1017 (2000; Zbl 0964.58018)]. In order to accomplish this, he provides an algorithm to find a basis of the space of complex secondary classes. Finally, he finds a condition under which the image of real secondary classes is naturally reduced.
Mathematics Subject Classification ID: 58H10
Mathematics Subject Classification ID: 53C12
Mathematics Subject Classification ID: 32S65
zbMATH DE Number: 2052003
zbMATH Keywords: foliations
zbMATH Keywords: transverse holomorphic structure
zbMATH Keywords: characteristic classes
reviewed by: Eugen Pascu
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.2748/tmj/1113247479
OpenAlex ID: W1987081780
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DOI: 10.2748/TMJ/1113247479
description: scientific article; zbMATH DE number 2052003