Temperate holomorphic solutions and regularity of holonomic \(\mathcal D\)-modules on curves (Q957942)

Summary: \textit{M. Kashiwara} and \textit{P. Schapira} [Astérisque 284, 143--164 (2003; Zbl 1053.35009)] introduced the notion of regularity for ind-sheaves and conjectured that a holonomic \(\mathcal D\)-module on a complex manifold is regular if and only if its complex of temperate holomorphic solutions is regular. Our aim is to prove this conjecture in the one-dimensional case.