On the ext-computability of Serre quotient categories (Q743917)
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| Language | Label | Description | Also known as |
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| English | On the ext-computability of Serre quotient categories |
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On the ext-computability of Serre quotient categories (English)
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1 October 2014
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In the present paper the authors develop a constructive links between the functor \(\mathrm{Ext}\) in categories in Serre quotient categories \(\mathcal{A}/\mathcal{C}\) and direct limits of \(\mathrm{Ext}\)-groups in the Abelian category \(\mathcal{A}\) (Theorem 6.2, Proposition 6.9 and Theorem 6.14). The results are applied to coherent sheaves over certain schemes.
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Serre quotients
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reflective localizations of abelian categories
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yoneda ext
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ext-computability
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