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- W4284669939 abstract "In 1996, Rothstein and Laumon simultaneously constructed a Fourier-Mukai transform for D-modules over a locally noetherian base of characteristic 0. This functor induces an equivalence of categories between quasi-coherent sheaves of D-modules over an abelian variety A and quasicoherent sheaves of O-modules over its universal vectorial extension A. In this article, we define a Fourier-Mukai transform for D-modules on an abelian formal scheme A/S = Spf (V), where V is a discrete valuation ring, and we discuss the extension of the classical results of Fourier-Mukai transform to this arithmetic case." @default.
- W4284669939 created "2022-07-08" @default.
- W4284669939 creator A5067294192 @default.
- W4284669939 date "2022-07-05" @default.
- W4284669939 modified "2023-09-28" @default.
- W4284669939 title "Fourier-Mukai transform for $mathcal{D}^{(0)}$-modules over formal abelian schemes" @default.
- W4284669939 doi "https://doi.org/10.48550/arxiv.2207.01857" @default.
- W4284669939 hasPublicationYear "2022" @default.
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