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arXiv · 0911.4607

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

Yusuke Kuno
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Abstract

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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Yusuke Kuno. 2011-04-12. The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds. https://doi.org/10.2140/agt.2011.11.145

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