Microlocal study of ind-sheaves I: micro-support and regularity

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We define the notions of micro-support and regularity for ind-sheaves, and prove their invariance by contact transformations. We apply the results to the ind-sheaves of temperate holomorphic solutions of D-modules. We prove that the micro-support of such an ind-sheaf is the characteristic variety of the corresponding D-module and that the ind-sheaf is regular if the D-module is regular holonomic.
26 pages

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Algebraic Geometry, Analysis of PDEs, 35A27, 32C38

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http://salesiana.dossiersoluciones.com/handle/123456789/61996

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0108065
 http://arxiv.org/abs/math/0108065

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arXiv