Moduli of objects in finite length abelian categories

We construct moduli spaces of objects in an abelian categories satisfying some finiteness hypotheses. Our approach is based on the work of Artin-Zhang and the intrinsic construction of moduli spaces for stacks developed by Alper-Halpern-Leistner-Heinloth.

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Hauptverfasser: Herrero, Andres Fernandez, Lennen, Emma, Makarova, Svetlana
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Sprache:eng
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Zusammenfassung:We construct moduli spaces of objects in an abelian categories satisfying some finiteness hypotheses. Our approach is based on the work of Artin-Zhang and the intrinsic construction of moduli spaces for stacks developed by Alper-Halpern-Leistner-Heinloth.
DOI:10.48550/arxiv.2305.10543