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 –manifolds from topological point of view. As an application of our study, we define a local signature for generic nonhyperelliptic fibrations of genus and and compute some examples.
"The Meyer functions for projective varieties and their application to local signatures for fibered $4$–manifolds." Algebr. Geom. Topol. 11 (1) 145 - 195, 2011. https://doi.org/10.2140/agt.2011.11.145