Some consequences of perversity of vanishing cycles

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

For a holomorphic function on a complex manifold, we show that the vanishing cohomology of lower degree at a point is determined by that for the points near it, using the perversity of the vanishing cycle complex. We calculate it explicitly in the case the hypersurface has simple normal crossings outside the point. We also give some applications to the monodromy.
20 pages, minor change

Keywords

Algebraic Geometry, 32S40

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/68277

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0308078
 http://arxiv.org/abs/math/0308078

Collections

arXiv