Noncommutative Proj and coherent algebras

Details Noncommutative Proj and coherent algebras Noncommutative Proj and coherent algebras

2002-12-12

arxiv.org/abs/math/0212182v4

Mathematics

Rings and Algebras

AMSLatex, 11 pages; Proposition 2.6 is strengthened

Scientific paper

We prove that an abelian category equipped with an ample sequence of objects
is equivalent to the quotient of the category of coherent modules over the
corresponding algebra by the subcategory of finite-dimensional modules. In the
Noetherian case a similar result was proved by Artin and Zhang.

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