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

Lei Wu

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

Algebraic Geometry 2021-05-27 v3

Authors: Lei Wu

Abstract

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.

Keywords

module theory

Cite

@article{arxiv.2011.14527,
  title  = {Characteristic cycles associated to holonomic $\mathscr D$-modules},
  author = {Lei Wu},
  journal= {arXiv preprint arXiv:2011.14527},
  year   = {2021}
}

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

Abstract

Keywords

Cite

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