Rescalability of integrable mixed twistor $D$-modules

TL;DR

This paper investigates the rescalability property of integrable mixed twistor D-modules, establishing functoriality, exploring irregular Hodge filtrations, and revealing their equivalence to exponential Hodge modules.

Contribution

It demonstrates the functoriality of rescalability, analyzes the irregular Hodge filtration, and proves the equivalence to exponential Hodge modules, advancing understanding of their structure.

Findings

Rescalability is functorial for integrable mixed twistor D-modules.

Irregular Hodge filtration behaves compatibly with rescalability.

Rescalable integrable mixed twistor D-modules are equivalent to exponential Hodge modules.

Abstract

We study the rescalability of integrable mixed twistor $D$-modules. We prove some basic functoriality of the rescalability and the associated irregular Hodge filtration. We also observe that rescalable integrable mixed twistor $D$-modules are equivalent to exponential Hodge modules.