Regularity of a D-Module Along a Submanifold
Yves Laurent
Université de Grenoble I, Saint-Martin d’Hères, France
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Abstract
We study how regularity along a submanifold of a differential or microdifferential system can propagate from a family of submanifolds to another. The first result is that a microdifferential system regular along a Lagrangian foliation is regular. However, when restricted to a fixed submanifold the corresponding result is true only under a condition on the characteristic variety.
Cite this article
Yves Laurent, Regularity of a D-Module Along a Submanifold. Publ. Res. Inst. Math. Sci. 54 (2018), no. 2, pp. 411–426
DOI 10.4171/PRIMS/54-2-7