On the V-filtration of D-modules

Mathematics – Algebraic Geometry

Scientific paper

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To appear in "Geometric methods in algebra and number theory" Proceedings of a December 2003 conference at the University of M

Scientific paper

In this mostly expository note we give a down-to-earth introduction to the
V-filtration of M. Kashiwara and B. Malgrange on D-modules. We survey some
applications to generalized Bernstein-Sato polynomials, multiplier ideals, and
monodromy of vanishing cycles.

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