Characteristic cycles associated to holonomic \mathscr D-modules

2020/11/30 by Wu, Lei
#14A21 #14C17 #14F10 #32S30 #32S60 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2011.14527

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.

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