Blow-analytic Retraction onto the Central Fibre
نویسندگان
چکیده
Let X be a complex analytic space and let f :X → C be a proper complex analytic function with nonsingular generic fibres. By adapting the blowanalytic methods of Kuo we construct a retraction of a neighbourhood of the central fibre f(0) onto f(0). Our retraction is defined by the flow of a real analytic vector field on an oriented real analytic blow-up of X . Then we describe in terms of this blow-up the associated specialization map and local Milnor fibrations. The method also works in real analytic category.
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