Abstract

For each g ≥ 1, we study a family Y _g(n) of complex surfaces which admit a singular fibration over CP¹ by complex curves of genus g. By examining a handlebody description for Y _g(n), we show that these complex surfaces can be smoothly decomposed as the Milnor fiber of a Brieskorn homology 3-sphere union a small submanifold, termed a “nucleus”. This description generalizes known decompositions for elliptic surfaces.

Authors