Some moduli spaces of Bridgeland's stability conditions

Abstract

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.

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

References in corpus (1)

• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces

Cited by in corpus (9)

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• Wall crossing of the moduli spaces of perverse coherent sheaves on a blow-up
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• Some remarks on Bridgeland stability conditions on K3 and Enriques surfaces
• Stability and Fourier-Mukai transforms on elliptic fibrations