Non-resonance D-modules over arrangements of hyperplanes

Abstract

The aim of this note is a combinatorial description of a category of $D$-modules over an affine space, smooth along the stratification defined by an arrangement of hyperplanes. These $D$-modules are assumed to satisfy certain non-resonance condition. The main result, see Theorem 4.1, generalizes [S.Khoroshkin, $D$-modules over arrangements of hyperplanes, Comm. in Alg. 23(9) (1995), 3481-3504].

15 pages, Latex. Acknowledgement corrected