Catriona Maclean - Cohomology classes of complex approximable algebras

epiga:10865 - Épijournal de Géométrie Algébrique, February 13, 2024, Special volume in honour of Claire Voisin - https://doi.org/10.46298/epiga.2023.10865
Cohomology classes of complex approximable algebrasArticle

Authors: Catriona Maclean

    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.


    Volume: Special volume in honour of Claire Voisin
    Published on: February 13, 2024
    Accepted on: October 17, 2023
    Submitted on: January 29, 2023
    Keywords: Mathematics - Algebraic Geometry

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