Vanishing cycles of pencils of hypersurfaces

Details Vanishing cycles of pencils of hypersurfaces Vanishing cycles of pencils of hypersurfaces

2002-04-08

arxiv.org/abs/math/0204094v3

Topology 43 (2004), no. 3, 619--633.

Mathematics

Algebraic Geometry

14 p, more references added, Introduction and Abstract reformulated; based on the Newton Institute preprint NI01029

Scientific paper

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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