The V -filtration and vanishing and nearby cycles
نویسنده
چکیده
Disclaimer: We will work with rightD-modules. AnyD-module we consider will be at least coherent. We will work locally, choosing etale coordinates x1, . . . , xn; then dx1∧ . . .∧dxn is a generator forK, annihilated by ∂1, . . . , ∂n and thus we will regard K as D/(∂1, . . . , ∂n)D, and not bother writing the volume element down. All our constructions will patch together globally in an obvious manner.
منابع مشابه
ON THE V - FILTRATION OF D - MODULES 3 Proof
In this mostly expository note we give a down-to-earth introduction to the V-filtration of M. Kashiwara and B. Mal-grange on D-modules. We survey some applications to generalized Bernstein-Sato polynomials, multiplier ideals, and monodromy of vanishing cycles. The V filtration on D-modules was introduced by M. Kashiwara and B. Malgrange to construct vanishing cycles in the category of (regular ...
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