论文标题

与自动$ \ Mathscr D $模型相关的特征周期

Characteristic cycles associated to holonomic $\mathscr D$-modules

论文作者

Wu, Lei

论文摘要

我们研究与自动$ \ Mathscr d $模块相关的相对和对数特征周期。作为应用,我们将获得:(1)Ginsburg的原木特征周期公式的替代证明,用于定期自动$ \ Mathscr d $ - 模块,遵循Sabbah和Briancon-Maisonobe-Merle的想法,以及(2)Log de Rham的建设性,用于自然来说$ Mathscr $ -Matirane的及格的建筑,以下构造定理。

We study relative and logarithmic characteristic cycles associated to holonomic $\mathscr D$-modules. As applications, we obtain: (1) an alternative proof of Ginsburg's log characteristic cycle formula for lattices of regular holonomic $\mathscr D$-modules following ideas of Sabbah and Briancon-Maisonobe-Merle, and (2) the constructibility of the log de Rham complexes for lattices of holonomic $\mathscr D$-modules, which is a natural generalization of Kashiwara's constructibility theorem.

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