Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface

Details Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface Rank One Bridgeland Stable Moduli Spaces on A Principally Polarized Abelian Surface

2011-07-26

arxiv.org/abs/1107.5304v1

Mathematics

Algebraic Geometry

17 pages, 3 figures

Scientific paper

We compute moduli spaces of Bridgeland stable objects on an irreducible
principally polarized complex abelian surface corresponding to twisted ideal
sheaves. We use Fourier-Mukai techniques to extend the ideas of Arcara and
Bertram to express wall-crossings as Mukai flops and show that the moduli
spaces are projective.

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