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The relative hermitian duality functor

Teresa Monteiro Fernandes
  • Function : Author
Claude Sabbah


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.

Dates and versions

hal-03752513 , version 1 (16-08-2022)



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