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

arXiv:math/0304378

Abstract

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.

8 pages, no figures, final version, to appear in Publ. RIMS