Singular Cohomology of the Analytic Milnor Fiber, and Mixed Hodge Structure on the Nearby Cohomology
نویسنده
چکیده
We describe the homotopy type of the analytic Milnor fiber in terms of the special fiber of a strictly semi-stable reduction, and we show that its singular cohomology coincides with the weight zero part of the mixed Hodge structure on the nearby cohomology. In the appendix, we consider the de Rham cohomology of the analytic Milnor fiber of an isolated singularity, and we re-interpret some classical results in the framework of formal and rigid geometry.
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