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.

Proposition 5 is corrected as well as its implications in other statements. The main result is untouched

References in corpus (1)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules