Stability data and t-structures on a triangulated category

Details Stability data and t-structures on a triangulated category Stability data and t-structures on a triangulated category

2003-12-24

arxiv.org/abs/math/0312442v1

Mathematics

Algebraic Geometry

30 pp, uses diagrams.sty by P.Taylor

Scientific paper

We propose the notion of stability on a triangulated category that is a
generalization of the T.Bridgeland's stability data. We establish connections
between stabilities and t-structures on a category and as application we get
the classification of bounded t-structures on the bounded derived category of
coherent sheaves on a line.

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