The boundary of the Milnor fiber for some non-isolated singularities of complex surfaces
The boundary of the Milnor fiber for some non-isolated singularities of complex surfaces
We study the boundary $L_{t}$ of the Milnor fiber for the non-isolated singularities in $\mathbf{C}^{3}$ with equation $z^{m} - g(x,y) = 0$ where $m \geq 2$ and $g(x,y)=0$ is a non-reduced plane curve germ. We give a complete proof that $L_{t}$ is a Waldhausen graph manifold and we provide the …