nLab
Milnor fiber

Milnor fiber, Milnor map and Milnor fibration

For a hypersurface in C n+1\mathbf{C}^{n+1} given by an equation f=0f = 0 for some fC[[z 0,z 1,,z n]]f\in\mathbf{C}[[z_0,z_1,\ldots,z_n]] with an isolated singularity at zero…

There is also a rigid analytic version analytic Milnor fiber, which is a rigid variety over the nonarchimedean field of complex Laurent series associated to a complex hypersurface singularity. It has been used in the study of motivic zeta function via motivic integration on rigid varieties in