Some moduli spaces of Bridgeland's stability conditions

Details Some moduli spaces of Bridgeland's stability conditions Some moduli spaces of Bridgeland's stability conditions

2011-11-26

arxiv.org/abs/1111.6187v3

Mathematics

Algebraic Geometry

25 pages, the appendix is expanded, sect. 4.2 is modified

Scientific paper

We shall study some moduli spaces of Bridgeland's semi-stable objects on
abelian surfaces and K3 surfaces with Picard number 1. Under some conditions,
we show that the moduli spaces are isomorphic to the moduli spaces of Gieseker
semi-stable sheaves. We also study the ample cone of the moduli spaces.

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