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Approximable algebras and a question of Chen

Algebraic Geometry 2017-03-07 v1

Abstract

In his article "Arithmetic Fujita Approximations", Huayi Chen introduces the notion of an approximable graded algebra and asks if any such algebra is a subalgebra of the graded section ring of a big line bundle on an algebraic variety. We give a counter-example showing this is not the case.

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Cite

@article{arxiv.1703.01801,
  title  = {Approximable algebras and a question of Chen},
  author = {Catriona Maclean},
  journal= {arXiv preprint arXiv:1703.01801},
  year   = {2017}
}

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8 pages