On the existence of a compact generator on the derived category of a noetherian formal scheme

Mathematics – Algebraic Geometry

Scientific paper

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13 pages

Scientific paper

In this paper, we prove that for a noetherian formal scheme X, its derived
category of sheaves of modules with quasi-coherent torsion homologies D_qct(X)
is generated by a single compact object. In an appendix we prove that the
category of compact objects in D_qct(X) is skeletally small.

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