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

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.

arXiv commentv2: Lemma 3.5 is corrected as Lemma 3.6. A lemma is added as Lemma 3.5. 10 pages