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On the V-filtration of D-modules

Nero Budur

math.AGarXiv:math/0409123

Abstract

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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