Triangular spectrum of some triangulated categories

Details Triangular spectrum of some triangulated categories Triangular spectrum of some triangulated categories

2010-12-03

arxiv.org/abs/1012.0789v3

Mathematics

Algebraic Geometry

31 pages

Scientific paper

In this paper, we compute 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 $G$ which acts on $X$ with some smoothness condition on the quotient. The other class is the derived category of split superschemes.

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