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

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.

40 pages, 4 figures

References in corpus (1)

• The mapping class group and the Meyer function for plane curves

Cited by in corpus (2)

• Meyer functions and the signatures of fibered 4-manifolds
• A local signature for fibrations with a finite group action