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arXiv · 1604.06018

On the derived category of quasi-coherent sheaves on an Adams geometric stack

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

Let $\mathbf{X}$ be an Adams geometric stack. We show that $D(A_{qc}(\mathbf{X}))$, its derived category of quasi-coherent sheaves, satisfies the axioms of a stable homotopy category defined by Hovey, Palmieri and Strickland. Moreover we show how this structure relates to the derived category of comodules over a Hopf algebroid that determines $\mathbf{X}$.

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Leovigildo Alonso, Ana Jeremias, Marta Perez, Maria J. Vale. 2016-04-20. On the derived category of quasi-coherent sheaves on an Adams geometric stack. https://doi.org/10.1016/j.jpaa.2017.05.009

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