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Let $f:X\to Y$ be a smooth morphism of complex analytic manifolds and let $F$be an $\mathbb{R}$-constructible complex on $Y$. Let $\cal{M}$ be a coherent$\shd_X$-module. We prove that the microsupport of the solution complex of$\shm$ in the tempered holomorphic functions $t \shh \text{om} (f^{-1} F,\sho_X)$, is contained in the 1-characteristic variety of $\cal{M}$ associatedto $f$, and that the microsupport of the solution complex in the temperedmicrofunctions $t\mu hom(f^{-1}F, \sho_X)$ is contained in the1-microcharacteristic variety of the microlocalized of $\shm$ along$T^*Y\times_Y X$.  This applies in particular to the complex of solutions of $\shm$ in the sheafof distributions holomorphic in the fibers of an arbitrary smooth morphism.

Microsupport of tempered solutions of D-Modules associated to smooth morphisms