Singular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology

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dc.creatorNicaise, Johannes
dc.date2007-10-01
dc.date2008-09-26
dc.date.accessioned2026-07-07T10:05:07Z
dc.date.available2026-07-07T10:05:07Z
dc.descriptionWe constructed the analytic Milnor fiber is a non-archimedean model of the classical topological Milnor fibration. In the present paper, we describe the homotopy type of the analytic Milnor fiber in terms of a strictly semi-stable model, and we show that its singular cohomology coincides with the weight zero part of the mixed Hodge structure on the nearby cohomology. We give a similar expression for Denef and Loeser's motivic Milnor fiber in terms of a strictly semi-stable model.
dc.descriptionSlightly rewritten; appendix omitted; section added on the computation of motivic nearby cycles in terms of semi-stable models
dc.identifierhttps://arxiv.org/abs/0710.0330
dc.identifierhttp://arxiv.org/abs/0710.0330
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/169914
dc.subjectAlgebraic Geometry
dc.titleSingular cohomology of the analytic Milnor fiber, and mixed Hodge structure on the nearby cohomology
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