Geodesic
Cohomology classes of complex approximable algebras
Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023)

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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.
DOI : 10.46298/epiga.2023.10865
Classification : 13A18, 14E99 
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     title = {Cohomology classes of complex approximable algebras},
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Maclean, Catriona. Cohomology classes of complex approximable algebras. Épijournal de Géométrie Algébrique, Special volume in honour of Claire Voisin (2023). doi: 10.46298/epiga.2023.10865

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