Bridgeland's stabilities on abelian surfaces

Abstract

In this paper, we shall study the structure of walls for Bridgeland's stability conditions on abelian surfaces. In particular, we shall study the structure of walls for the moduli spaces of rank 1 complexes on an abelian surface with the Picard number 1.

arXiv comment24 pages

References in corpus (6)

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• Computing the Walls Associated to Bridgeland Stability Conditions on Projective Surfaces
• Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface
• Bridgeland-Stable Moduli Spaces for K-Trivial Surfaces
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Cited by in corpus (4)

• A generalized Bogomolov-Gieseker inequality for the three-dimensional projective space
• Projectivity and Birational Geometry of Bridgeland moduli spaces
• Wall crossing of the moduli spaces of perverse coherent sheaves on a blow-up
• Stability conditions and extremal contractions