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On irregularities of Fourier transforms of regular holonomic D-modules
Advances in Mathematics ( IF 1.5 ) Pub Date : 2020-06-01 , DOI: 10.1016/j.aim.2020.107093
Yohei Ito , Kiyoshi Takeuchi

We study Fourier transforms of regular holonomic D-modules. By using the theory of Fourier-Sato transforms of enhanced ind-sheaves developed by Kashiwara-Schapira and D'Agnolo-Kashiwara, a formula for their enhanced solution complexes will be obtained. Moreover we show that some parts of their characteristic cycles and irregularities are expressed by the geometries of the original D-modules.

中文翻译:

关于规则完整 D 模的傅里叶变换的不规则性

我们研究常规完整 D 模的傅立叶变换。通过使用由 Kashiwara-Schapira 和 D'Agnolo-Kashiwara 开发的增强 ind-sheaves 的 Fourier-Sato 变换理论,将获得它们的增强溶液配合物的公式。此外,我们展示了它们特征循环和不规则性的某些部分由原始 D 模的几何形状表示。
更新日期:2020-06-01
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