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Abstract: We study the interaction between Fourier -Mukai transforms and perverse filtrations for a certain class of dualizable abelian fibrations. Multiplicativity of the perverse filtration ...
., Murre J.. Motivic decomposition of abelian schemes and the Fourier transform , Journal Fur Die Reine Und Angewandte Mathematik , 1991, vol. 422 (pg. 201- 219) [18] Ekedahl T.. , The Grothendieck ...
harmonic analysis approach of [8]. We use the idea of [4, 10] to add exponentials to |$\mathscr{M}$| in order to define a naive motivic Fourier transform . The author was informed by Ben Davison and Sergey ...
of the known applications to the boundary of Shimura varieties. 1 Introduction The aim of this article is to extend the main results from [28] to the context of motives over a base scheme |$X$|, taking ...
structure of the basis functions leads to an efficient implementation of the interpolation scheme in terms of a double Fourier transform . In Section 7 we will further give a short description of the numerical ...
category of a quadric (and its noncommutative analogs) in relationship with the derived category of the Hilbert scheme of two points on a quadric (and commutative deformations thereof). The motivation comes ...
=An with the diagonal action of any μm. X=Z2, where Z is a smooth projective variety of arbitrary dimension, and μ2=S2 acts by permuting the factors. Then Y˜≅Z[2], the Hilbert scheme of two points. X is an abelian ...
points for motivic representations. We give a first simple example of such applications in the final section of this article. 1 Introduction The étale fundamental group of a scheme [22] is one of the most ...
|$\tau: {\mathcal C} \to {\mathbb Z}[{\mathbb Q}/{\mathbb Z}]$| is uniquely determined by the equality of Fourier transform $$\begin{equation} \widehat{\tau(E,T)}(n)={\rm tr}(T^{\,n}_{| T^{\,\infty}(E(1_ ...
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