Microsupport of tempered solutions of D-Modules associated to smooth morphisms
Algebraic Geometry
2013-01-16 v4 Analysis of PDEs
Abstract
Let be a smooth morphism of complex analytic manifolds and let be an -constructible complex on . Let be a coherent -module. We prove that the microsupport of the solution complex of in the tempered holomorphic functions , is contained in the 1-characteristic variety of associated to , and that the microsupport of the solution complex in the tempered microfunctions is contained in the 1-microcharacteristic variety of the microlocalized of along . This applies in particular to the complex of solutions of in the sheaf of distributions holomorphic in the fibers of an arbitrary smooth morphism.
Cite
@article{arxiv.0808.0887,
title = {Microsupport of tempered solutions of D-Modules associated to smooth morphisms},
author = {Teresa Monteiro Fernandes},
journal= {arXiv preprint arXiv:0808.0887},
year = {2013}
}
Comments
Final version to appear in Houston Journal of Mathematics with a dedicatory added