Definition of Pure Hodge Modules
نویسنده
چکیده
(3) A good filtration F•M by OX -coherent subsheaves of M, such that FpM · FkD ⊂ Fp+kM and such that gr• M is coherent over gr• DX ' Sym • TX . Its Tate twist is defined by M(k) = (M, F•−kM,K ⊗Q Q(k)) where Q(k) = (2πi)Q ⊂ C. For a given function f : X → C, we want to define the nearby and vanishing cycles, denoted ψf and φf , in the category of filtered regular holonomic D-modules with Q-structure. If f−1(0) is not smooth, instead of M = (M, F•M,K) we consider (id, f)∗M = (Mf , F•Mf ,Kf ) where Mf = (id, f)+M =M[∂t], F•Mf = F•(id, f)+M = ∞ ⊕
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تاریخ انتشار 2016