Bounded t-structures on the bounded derived category of coherent sheaves over a weighted projective line

2017/08/17 by Sun, Chao
#Algebraic Geometry (math.AG) #Category Theory (math.CT) #FOS: Mathematics #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.1708.05274

Abstract

We use recollement and HRS-tilt to describe bounded t-structures on the bounded derived category D^b(\mathbbX) of coherent sheaves over a weighted projective line \mathbbX of virtual genus ≤ 1. We will see from our description that the combinatorics in classification of bounded t-structures on D^b(\mathbbX) can be reduced to that in classification of bounded t-structures on bounded derived categories of finite dimensional right modules over representation-finite finite dimensional hereditary algebras.

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