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.

引用

页码：828 / 845

页数：18

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