中文

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

复变函数 2007-05-23 v3 偏微分方程分析

摘要

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.

引用

@article{arxiv.math/0304378,
  title  = {On the dimension formula for the hyperfunction solutions of some holonomic D-modules},
  author = {Joerg Schuermann},
  journal= {arXiv preprint arXiv:math/0304378},
  year   = {2007}
}

备注

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