The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds

Details The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds

2009-11-24

arxiv.org/abs/0911.4607v2

Algebraic & Geometric Topology 11, pp145-195, 2011

Mathematics

Geometric Topology

40 pages, 4 figures

Scientific paper

We study a secondary invariant, called the Meyer function, on the fundamental group of the complement of the dual variety of a smooth projective variety. This invariant have played an important role when studying the local signatures of fibered 4-manifolds from topological point of view. As an application of our study, we define a local signature for generic non-hyperelliptic fibrations of genus 4 and 5 and compute some examples.

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