Regularity and b-functions for D-modules

Yves Laurent

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arXiv · 1501.06932

Regularity and b-functions for D-modules

Yves Laurent

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Abstract

A holonomic D-module on a complex analytic manifoldadmits always a b-function along any submanifold. If the module is regular, itadmits also a regular b-function, that is a b-function with a condition on the order of the lower terms of the equation.There is a weaker condition of regularity: regularity alonga submanifold. We prove that a module which is regular alonga submanifold admits a regular b-function along this submanifold.

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Yves Laurent. 2016-06-08. Regularity and b-functions for D-modules. https://arxiv.org/abs/1501.06932

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