Resolution of the canonical fiber metrics for a lefschetz fibration

We consider the family of constant curvature fiber metrics for a Lefschetz fibration with regular fibers of genus greater than one. A result of Obitsu and Wolpert is refined by showing that on an appropriate resolution of the total space, constructed by iterated blow-up, this family is log-smooth, i...

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Bibliographic Details
Main Authors: Melrose, Richard B, Zhu, Xuwen
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Published: International Press of Boston, Inc. 2018
Online Access:http://hdl.handle.net/1721.1/116107
https://orcid.org/0000-0002-1494-8228