On the Dimension Formula for the Hyperfunction Solutions of Some Holonomic D-modules
Jörg Schürmann
Universität Münster, Germany
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Abstract
In this short note we improve a recent dimension formula of Takeuchi for the dimension of the hyperfunction solutions of some holonomic D-modules. Besides the constructibility result and the 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.
Cite this article
Jörg Schürmann, On the Dimension Formula for the Hyperfunction Solutions of Some Holonomic D-modules. Publ. Res. Inst. Math. Sci. 42 (2006), no. 1, pp. 1–8
DOI 10.2977/PRIMS/1166642055