Wild twistor D-modules

Abstract

We propose a definition of (polarized) wild twistor D-modules, generalizing to objects with irregular singularities that of (polarized) regular twistor D-modules. We give a precise analysis in dimension one.

49 pages, revised version

References in corpus (3)

• Asymptotic behaviour of tame harmonic bundles and an application to pure twistor $D$-modules
• On a conjecture of Kashiwara
• Mod $\ell$ representations of arithmetic fundamental groups II (A conjecture of A.J. de Jong)

Cited by in corpus (3)

• On the irregular Hodge filtration of exponentially twisted mixed Hodge modules
• Twistor property of GKZ-hypergeometric systems
• Rescalability of integrable mixed twistor $D$-modules