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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

Kodaira fibrations, Kähler groups, and finiteness properties


Authors: Martin R. Bridson and Claudio Llosa Isenrich
Journal: Trans. Amer. Math. Soc. 372 (2019), 5869-5890
MSC (2010): Primary 32J27, 20J05; Secondary 32Q15, 20F65
DOI: https://doi.org/10.1090/tran/7767
Published electronically: June 6, 2019
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Abstract: We construct classes of Kähler groups that do not have finite classifying spaces and are not commensurable to subdirect products of surface groups. Each of these groups is the fundamental group of the generic fibre of a holomorphic map from a product of Kodaira fibrations onto an elliptic curve.


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Additional Information

Martin R. Bridson
Affiliation: Mathematical Institute, Andrew Wiles Building, University of Oxford, Oxford OX2 6GG, United Kingdom
Email: bridson@maths.ox.ac.uk

Claudio Llosa Isenrich
Affiliation: Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, CNRS, Université Paris-Saclay, 91405 Orsay, France
Email: claudio.llosa-isenrich@math.u-psud.fr

DOI: https://doi.org/10.1090/tran/7767
Received by editor(s): December 4, 2017
Received by editor(s) in revised form: July 29, 2018, and November 12, 2018
Published electronically: June 6, 2019
Additional Notes: The first author was funded by a Wolfson Research Merit Award from the Royal Society.
The second author was supported by an EPSRC Research Studentship and by the German National Academic Foundation
Article copyright: © Copyright 2019 American Mathematical Society