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

被引：1
|
作者：
Alonso Tarrio, Leovigildo [1 ]
Jeremias Lopez, Ana [1 ]
Perez Rodriguez, Marta [2 ]
Vale Gonsalves, Maria J. [1 ]
机构：
[1] Univ Santiago de Compostela, Dept Matemat, E-15782 Santiago De Compostela, Spain
[2] Univ Vigo, Dept Matemat, Esc Sup Enx Informat, Campus Ourense, E-32004 Orense, Spain
来源：
JOURNAL OF PURE AND APPLIED ALGEBRA | 2018年 / 222卷 / 04期
关键词：
AXIOMATIC STABLE-HOMOTOPY; RESOLUTION PROPERTY; COMPLEXES; SCHEMES;
D O I：
10.1016/j.jpaa.2017.05.009
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let X be an Adams geometric stack. We show that D (A(qc)(X)), 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 X. (C) 2017 Elsevier B.V. All rights reserved.
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页码：828 / 845
页数：18
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