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arxiv: math/0204094 · v3 · submitted 2002-04-08 · 🧮 math.AG · math.AT

Vanishing cycles of pencils of hypersurfaces

classification 🧮 math.AG math.AT
keywords cycleshypersurfacespencilsvanishingaxiscertainclassextended
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We prove an extended Lefschetz principle for a large class of pencils of hypersurfaces having isolated singularities, possibly in the axis, and show that the module of vanishing cycles is generated by the images of certain variation maps.

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