R-linear triangulated categories and stability conditions

2022/08/22 by Kawatani, Kotaro
#Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics

paper · doi:10.48550/arxiv.2208.10034

Abstract

Let R be a commutative ring. We introduce the notion of support of objects in an R-linear triangulated category. As an application, we study the non-existence of Bridgeland stability conditions on R-linear triangulated categories.

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