A remark on the nilpotent orbit theorem for unipotent complex variations of Hodge structure

TL;DR

This paper offers a new proof of a key aspect of the nilpotent orbit theorem for unipotent complex variations of Hodge structure, utilizing the Ohsawa-Takegoshi $L^2$ extension theorem.

Contribution

It provides a novel proof of the nilpotent orbit theorem segment for unipotent complex variations of Hodge structure, emphasizing the role of $L^2$ extension techniques.

Findings

New proof of the nilpotent orbit theorem segment.

Highlights the importance of $L^2$ extension theorem in Hodge theory.

Potential simplification of existing proofs.

Abstract

We present a new proof of a part of the nilpotent orbit theorem for unipotent complex variations of Hodge structure. In our proof, the $L^2$ extension theorem of Ohsawa-Takegoshi type plays an essential role.