Adelic models of tensor-triangulated categories

被引：7
|
作者：
Balchin, Scott [1 ]
Greenlees, J. P. C. [1 ]
机构：
[1] Warwick Math Inst, Zeeman Bldg, Coventry CV4 7AL, W Midlands, England
来源：
ADVANCES IN MATHEMATICS | 2020年 / 375卷
基金：
英国工程与自然科学研究理事会;
关键词：
Adelic approximation; Algebraic model; Tensor triangulated category; Balmer spectrum; Localization; Completion; ALGEBRAIC-GEOMETRY; BALMER SPECTRUM; HOMOTOPY-THEORY; MODULES; PRINCIPLE;
D O I：
10.1016/j.aim.2020.107339
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that a well behaved Noetherian, finite dimensional, stable, monoidal model category has a model built from categories of modules over completed rings in an adelic fashion. Special cases include abelian groups (the Hasse square), chromatic homotopy theory (a module theoretic chromatic fracture square), and rational torus-equivariant homotopy theory (first step to the model of [30]). (C) 2020 Elsevier Inc. All rights reserved.
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页数：45
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