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arXiv · 0905.2063

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

Leovigildo Alonso·Ana Jeremias·Marta Perez·Maria J. Vale
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Abstract

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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Leovigildo Alonso, Ana Jeremias, Marta Perez, Maria J. Vale. 2009-05-13. On the existence of a compact generator on the derived category of a noetherian formal scheme. https://doi.org/10.1007/s10485-009-9204-5

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