# The relative hermitian duality functor

Abstract : We extend to the category of relative regular holonomic modules on a manifold $X$, parametrized by a curve $S$, the Hermitian duality functor (or conjugation functor) of Kashiwara. We prove that this functor is an equivalence with the similar category on the conjugate manifold $\overline X$, parametrized by the same curve. As a byproduct we introduce the notion of regular holonomic relative distribution.
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Preprints, Working Papers, ...

https://hal-polytechnique.archives-ouvertes.fr/hal-03752513
Contributor : Claude Sabbah Connect in order to contact the contributor
Submitted on : Tuesday, August 16, 2022 - 9:56:20 PM
Last modification on : Wednesday, August 17, 2022 - 3:39:05 AM

### Identifiers

• HAL Id : hal-03752513, version 1
• ARXIV : 2012.15171

### Citation

Teresa Monteiro Fernandes, Claude Sabbah. The relative hermitian duality functor. 2022. ⟨hal-03752513⟩

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