write up

To produce by writing.

“The supervisor wrote up the personnel report about him.”

To document the faults of.

“His supervisor wrote him up after their last argument.”

To write about positively; to praise in writing.

“The paper wrote up the team's prospects.”

To make an upward adjustment in the value of an asset.

To annotate an album page with details of the stamp such as die used, colour variety, and other information.