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Approximable algebras and a question of H. Chen
Author(s) -
Maclean Catriona
Publication year - 2019
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201700145
Subject(s) - mathematics , fujita scale , chen , algebra over a field , variety (cybernetics) , line bundle , ring (chemistry) , algebraic number , pure mathematics , mathematical analysis , paleontology , statistics , physics , chemistry , organic chemistry , meteorology , biology
In [2][H. Chen, 2010], Huayi Chen introduces the notion of an approximable graded algebra, which he uses to prove a Fujita‐type theorem in the arithmetic setting, and asks if any such algebra is a sub‐algebra of the graded section ring of a big line bundle on an algebraic variety. We give a counter‐example showing that this is not the case.