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

作者：Kuno Yusuke^*

来源：Algebraic and Geometric Topology, 2011, 11(1): 145-195.

DOI：10.2140/agt.2011.11.145

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 has 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 nonhyperelliptic fibrations of genus 4 and 5 and compute some examples.

• 出版日期2011