Tempered solutions of $\mathcal D$-modules on complex curves and formal invariants

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dc.creatorMorando, Giovanni
dc.date2007-12-05
dc.date.accessioned2026-07-07T08:47:29Z
dc.date.available2026-07-07T08:47:29Z
dc.descriptionLet $X$ be a complex analytic curve. In this paper we prove that the subanalytic sheaf of tempered holomorphic solutions of $\mathcal D_X$-modules induces a fully faithful functor on a subcategory of germs of formal holonomic $\mathcal D_X$-modules. Further, given a germ $\mathcal M$ of holonomic $\mathcal D_X$-module, we obtain some results linking the subanalytic sheaf of tempered solutions of $\mathcal M$ and the classical formal and analytic invariants of $\mathcal M$.
dc.description31 pages
dc.identifierhttps://arxiv.org/abs/0712.0792
dc.identifierhttp://arxiv.org/abs/0712.0792
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/143615
dc.subjectAlgebraic Geometry
dc.subjectComplex Variables
dc.subject34M35; 32B20; 34Mxx
dc.titleTempered solutions of $\mathcal D$-modules on complex curves and formal invariants
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