Symplectic Lefschetz fibrations with arbitrary fundamental groups

J. Amorós; F. Bogomolov; L. Katzarkov; T. Pantev; I. Smith

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arXiv · math/9810042

Symplectic Lefschetz fibrations with arbitrary fundamental groups

J. Amorós·F. Bogomolov·L. Katzarkov·T. Pantev·I. Smith

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Abstract

In this paper we give an explicit construction of a symplectic Lefschetz fibration whose total space is a smooth compact four dimensional manifold with a prescribed fundamental group. We also study the numerical properties of the sections in symplectic Lefschetz fibrations and their relation to the structure of the monodromy group.

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BibTeX RIS

J. Amorós, F. Bogomolov, L. Katzarkov, T. Pantev, I. Smith. 1998-11-25. Symplectic Lefschetz fibrations with arbitrary fundamental groups. https://arxiv.org/abs/math/9810042

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