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Huayi Chen introduces the notion of an approximable graded algebra, which heuses to prove a Fujita-type theorem in the arithmetic setting, and asked if anysuch 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, whosubsequently proved that any such algebra is associated to an infinite Weildivisor. In this paper, we show that over the complex numbers, this infiniteWeil divisor necessarily has finite cohomology class.

Cohomology classes of complex approximable algebras