The purpose of this short note is to give a remark on the decomposition theorem for direct images of canonical sheaves tensorized with Nakano semipositive vector bundles. Although our result is a direct consequence of Takegoshi’s work in , it was not stated explicitly in . Here we give the precise statement and the proof.
"A remark on the decomposition theorem for direct images of canonical sheaves tensorized with semipositive vector bundles." Proc. Japan Acad. Ser. A Math. Sci. 92 (7) 84 - 85, July 2016. https://doi.org/10.3792/pjaa.92.84