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2007 Truncated microsupport and hyperbolic inequalities
Teresa Monteiro Fernandes, Ana Rita Martins
Nagoya Math. J. 185: 63-91 (2007).

Abstract

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 $F=R\cal{H}\text{om}_{\cal{D}}(\cal{M}, \sho)$, where $\cal{M}$ is a coherent $\cal{D}$-module, we obtain new estimates for the truncated microsupport of real analytic and hyperfunction solutions. When $\cal{M}$ 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 $\shm$ when $Y$ is a hypersurface.

Citation

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Teresa Monteiro Fernandes. Ana Rita Martins. "Truncated microsupport and hyperbolic inequalities." Nagoya Math. J. 185 63 - 91, 2007.

Information

Published: 2007
First available in Project Euclid: 23 March 2007

zbMATH: 1135.32009
MathSciNet: MR2301458

Subjects:
Primary: 35A27
Secondary: 32C38

Rights: Copyright © 2007 Editorial Board, Nagoya Mathematical Journal

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Vol.185 • 2007
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