A general intersection formula for Lagrangian cycles

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

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Algebraic Geometry, Complex Variables, 14P10, 14P15, 32B20, 32S20, 32S30, 32S40, 32S60

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http://salesiana.dossiersoluciones.com/handle/123456789/63236

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0201300
 http://arxiv.org/abs/math/0201300

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arXiv