  Huayi Chen introduces the notion of an approximable graded algebra, which he
uses to prove a Fujita-type theorem in the arithmetic setting, and asked if any
such algebra is the graded ring of a big line bundle on a projective variety.
This was proved to be false in a previous paper of the author's, who
subsequently proved that any such algebra is associated to an infinite Weil
divisor. In this paper, we show that over the complex numbers, this infinite
Weil divisor necessarily has finite cohomology class.
