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arxiv: math/0304378 · v3 · submitted 2003-04-24 · 🧮 math.CV · math.AP

On the dimension formula for the hyperfunction solutions of some holonomic D-modules

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keywords dimensionformulad-modulesholonomichyperfunctionsolutionssomebesides
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In this short note we improve a dimension formula of Takeuchi for the dimension of the hyperfunction solutions of some holonomic D-modules. Besides the constructibility result and local index formula of Kashiwara for the holomorphic solution complex, we only use a vanishing theorem of Lebeau together with a simple calculation in terms of constructible functions.

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