Spectrum of some triangulated categories

被引：8

作者：

Dubey, Umesh V. ^{[2
]}

Mallick, Vivek M. ^{[1
]}

机构：

[1] Ctr Recerca Matemat, Bellaterra 08193, Barcelona, Spain

[2] Inst Math Sci, Madras 600113, Tamil Nadu, India

来源：

JOURNAL OF ALGEBRA | 2012年 / 364卷

关键词：

Tensor triangular geometry; Spectrum; Equivariant sheaves; Superschemes; RECONSTRUCTION; BOUSFIELD; DUALITY; THEOREM;

D O I：

10.1016/j.jalgebra.2012.04.030

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we compute the triangular spectrum (as defined by P. Balmer) of two classes of tensor triangulated categories which are quite common in algebraic geometry. One of them is the derived category of G-equivariant sheaves on a smooth scheme X, for a finite group G. The other class is the derived category of split superschemes. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：90 / 118

页数：29

共 28 条

[1]

[Anonymous], GRUNDLEHREN MATH WIS

[2]

[Anonymous], 2001, ANN MATH STUD

[3]

[Anonymous], 1990, Progr. Math.

[4]

Atiyah M. F., 1969, Introduction to Commutative Algebra

[5]

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

[6] Presheaves of triangulated categories and reconstruction of schemes [J].

Balmer, P .

MATHEMATISCHE ANNALEN, 2002, 324 (03) :557-580

[7]

Balmer P, 2010, PROCEEDINGS OF THE INTERNATIONAL CONGRESS OF MATHEMATICIANS, VOL II: INVITED LECTURES, P85

[8]

Bondal A, 2003, MOSC MATH J, V3, P1

[9] Reconstruction of a variety from the derived category and groups of autoequivalences [J].

Bondal, A ;

Orlov, D .

COMPOSITIO MATHEMATICA, 2001, 125 (03) :327-344

[10] The McKay correspondence as an equivalence of derived categories [J].

Bridgeland, T ;

King, A ;

Reid, M .

JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY, 2001, 14 (03) :535-554

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