ar X iv : m at h / 07 02 43 6 v 4 [ m at h . N T ] 4 J ul 2 00 8 Calculation of l - adic Local Fourier Transformations ∗
نویسنده
چکیده
We calculate the local Fourier transformations for a class of Ql-sheaves. In particular, we verify a conjecture of Laumon and Malgrange ([15] 2.6.3). As an application, we calculate the local monodromy of l-adic hypergeometric sheaves introduced by Katz ([12]). We also discuss the characteristic p analogue of the Turrittin-Levelt Theorem for D-modules. The method used in this paper can be used to show a conjecture of Ramero ([16] 8.7) which states that the Fourier transformation of an analytic sheaf with meromorphic ramification still has meromorphic ramification.
منابع مشابه
ar X iv : m at h / 07 02 43 6 v 1 [ m at h . N T ] 1 5 Fe b 20 07 Calculation of l - adic Local Fourier Transformations ∗
We calculate the local Fourier transformations for a class of Q l -sheaves. In particular, we verify a conjecture of Laumon and Malgrange ([L] 2.6.3).
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