Generalized tensor idempotents and the telescope conjecture

被引：55

作者：

Balmer, Paul ^{[1
]}

Favi, Giordano ^{[2
,3
]}

机构：

[1] UCLA Math Dept, Los Angeles, CA 90095 USA

[2] Univ Basel, Dept Math, CH-4051 Basel, Switzerland

[3] Ecole Polytech Fed Lausanne, Math Sect, EGG, CH-1015 Lausanne, Switzerland

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2011年 / 102卷

关键词：

LOCALIZATION; SUBCATEGORIES; VARIETIES; GEOMETRY; RESPECT; MODULES; SUPPORT; SPECTRA;

D O I：

10.1112/plms/pdq050

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We transpose Rickard's construction of idempotent representations to the general context of tensor triangulated categories. We connect our construction to the telescope conjecture and prove that the latter is of local nature. As an illustration, we extend the affine telescope theorem of Neeman to arbitrary noetherian schemes. We also develop supports for non-compact objects.

引用

页码：1161 / 1185

页数：25

共 36 条

[1]

[Anonymous], 2001, ANN MATH STUDIES

[2]

Balmer P, 2005, J REINE ANGEW MATH, V588, P149

[3] Supports and filtrations in algebraic geometry and modular representation theory [J].