Kodaira fibrations, Kähler groups, and finiteness properties

Bridson, Martin; Llosa Isenrich, Claudio

doi:10.1090/tran/7767

Kodaira fibrations, Kähler groups, and finiteness properties
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by Martin R. Bridson and Claudio Llosa Isenrich PDF

Trans. Amer. Math. Soc. 372 (2019), 5869-5890 Request permission

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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