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gorenstein flat

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

The projective stable category of a coherent scheme
Part of
- Homological algebra
Sergio Estrada, James Gillespie
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 149 / Issue 1 / February 2019

Published online by Cambridge University Press:

26 February 2018, pp. 15-43

Print publication:

February 2019
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We define the projective stable category of a coherent scheme. It is the homotopy category of an abelian model structure on the category of unbounded chain complexes of quasi-coherent sheaves. We study the cofibrant objects of this model structure, which are certain complexes of flat quasi-coherent sheaves satisfying a special acyclicity condition.