A Hartogs-type theorem for solutions to systems with regualr singularities (Q1818252)

The author proves a Hartogs-type extension theorem for solutions of regular specializable \(\mathcal D_x\)-modules. This theorem can be considered as a natural generalization of a result of Kashiwara-Oshima for higher codimensional cases (and to systems) [\textit{M. Kashiwara} and \textit{T. Oshima}, Ann. Math., II. Ser. 106, 145-200 (1977; Zbl 0358.35073)]. The proof essentially relies upon a comparison theorem due to \textit{Y. Laurent} and \textit{T. Monteiro Fernandes} [Publ. Res. Inst. Math. Sci. 24, No. 3, 397-431 (1988; Zbl 0704.35032)].