A general intersection formula for Lagrangian cycles

Details A general intersection formula for Lagrangian cycles A general intersection formula for Lagrangian cycles

2002-01-30

arxiv.org/abs/math/0201300v3

Mathematics

Algebraic Geometry

17 pages, no figures, presentation improved, examples and references added and/or updated. To appear in Compositio Mathematica

Scientific paper

We prove a generalization to the context of real geometry of an intersection formula for the vanishing cycle functor, which in the complex context is due to Dubson, Ginsburg, Le and Sabbah (after a conjecture of Deligne). It is also a generalization of similar results of Kashiwara-Schapira, where these authors work with a suitable assumption about the micro-support of the corresponding constructible complex of sheaves. We only use a similar assumption about the support of the corresponding characteristic cycle so that our result can be formulated in the language of constructible functions and Lagrangian cycles.

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