Temperate holomorphic solutions and regularity of holonomic D-modules on curves

dc.creatorMartins, Ana Rita
dc.date2006-02-20
dc.date.accessioned2026-07-07T07:03:36Z
dc.date.available2026-07-07T07:03:36Z
dc.descriptionLet $X$ be a complex manifold. In "Microlocal study of Ind-sheaves I: microsupport and regularity", M. Kashiwara e P. Schapira made the conjecture that a holonomic D-module $\shm$ is regular holonomic if and only if $R\mathcal{I}{hom}_{β_X\shd_X}(β_X\shm,\sho_X^t)$ is regular (in the sense of "Microlocal study of Ind-sheaves I: microsupport and regularity"), the "only if" part of this conjecture following immediately from "Microlocal study of Ind-sheaves I: microsupport and regularity". Our aim is to prove this conjecture in dimension one.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/math/0602424
dc.identifierhttp://arxiv.org/abs/math/0602424
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/109033
dc.subjectAlgebraic Geometry
dc.titleTemperate holomorphic solutions and regularity of holonomic D-modules on curves
dc.typetext

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