Triangular spectrum of some triangulated categories

2010/12/03 by Umesh V. Dubey, Dubey, Umesh V., Vivek M. Mallick +1
Mathematics · #18E30 #Algebraic Geometry (math.AG) #FOS: Mathematics #math.AG #msc:18E30

paper · pdf · doi:10.48550/arxiv.1012.0789

31 pages

arxiv created 2011/04/30 · arxiv updated 2011/05/03

Abstract

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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