projective varieties的Meyer函数及其在纤维4-流形局部签名中的应用
The Meyer functions for projective varieties and their application to local signatures for fibered 4-manifolds
摘要：
研究光滑射影簇的对偶簇的补的基本群上的一个次不变量Meyer函数。这一不变量在从拓扑学的角度研究纤维4-流形的局部签名时起了重要的作用。作为我们研究的一个应用，我们定义了亏格为4和5的一般非超椭圆纤维化的局部签名，并计算了一些例子。
英文摘要：
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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