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Truncated Microsupport and Hyperbolic Inequalities

Published online by Cambridge University Press:  11 January 2016

Ana Rita Martins  and
Teresa Monteiro Fernandes
Ana Rita Martins
Affiliation:
Centro de Álgebra da Universidade de Lisboa, Complexo 2, 2 Avenida Prof. Gama Pinto, 1699 Lisboa [email protected]
Teresa Monteiro Fernandes
Affiliation:
Centro de Álgebra da Universidade de Lisboa, Complexo 2, 2 Avenida Prof. Gama Pinto, 1699 Lisboa, Portugal, [email protected]
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Abstract

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We prove that the k-truncated microsupport of the specialization of a complex of sheaves F along a submanifold is contained in the normal cone to the conormal bundle along the k-truncated microsupport of F. In the complex case, applying our estimates to , where is a coherent -module, we obtain new estimates for the truncated microsupport of real analytic and hyperfunction solutions. When is regular along Y we also obtain estimates for the truncated microsupport of the holomorphic solutions of the induced system along Y as well as for the nearby-cycle sheaf of when Y is a hypersurface.

Keywords

35A2732C38
Type
Research Article
Information
Nagoya Mathematical Journal , Volume 185 , 2007 , pp. 63 - 91
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 2007

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