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Some moduli spaces of Bridgeland's stability conditions

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arxiv 1111.6187 v3 pith:FI25K2Z3 submitted 2011-11-26 math.AG

Some moduli spaces of Bridgeland's stability conditions

classification math.AG
keywords modulispacessomebridgelandconditionssemi-stablesurfacesabelian
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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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