On the derived category of quasi-coherent sheaves on an Adams geometric stack |
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Authors: | Leovigildo Alonso Tarrío Ana Jeremías López Marta Pérez Rodríguez María J. Vale Gonsalves |
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Affiliation: | 1. Departamento de Matemáticas, Universidade de Santiago de Compostela, E-15782 Santiago de Compostela, Spain;2. Departamento de Matemáticas Esc. Sup. de Enx. Informática, Campus de Ourense, Universidade de Vigo, E-32004 Ourense, Spain |
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Abstract: | Let be an Adams geometric stack. We show that , its derived category of quasi-coherent sheaves, satisfies the axioms of a stable homotopy category defined by Hovey, Palmieri and Strickland in [13]. Moreover we show how this structure relates to the derived category of comodules over a Hopf algebroid that determines . |
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Keywords: | Primary 14A20 secondary 14F05 18D10 |
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