Pure and Applied Mathematics Quarterly
Volume 16 (2020)
Special Issue: In Honor of Prof. Gert-Martin Greuel’s 75th Birthday
Guest Editors: Igor Burban, Stanislaw Janeczko, Gerhard Pfister, Stephen S.T. Yau, and Huaiqing Zuo
Connectedness of Milnor ﬁbres and Stein factorization of compactiﬁable holomorphic functions
Pages: 1083 – 1098
We start with conditions under which the Milnor fibre of a holomorphic function on a singular space is connected. In this case the special fibre is contractible, hence connected. So we pass to a more general question: compare the number of connected components of the fibres of a holomorphic function. Useful ingredients are local Lefschetz theorems and some kind of a Stein factorization.
2010 Mathematics Subject Classification
Primary 32S55. Secondary 14B05, 32S50.
Received 4 January 2019
Accepted 18 October 2019
Published 13 November 2020