Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions

Details Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions

2011-06-26

arxiv.org/abs/1106.5217v1

Mathematics

Algebraic Geometry

39 pages

Scientific paper

Bridgeland stability condition is preserved under the Fourier-Mukai transform
by its definition. We explain the relation with Gieseker stability. By studying
the wall-crossing behavior, we reprove that the moduli spaces of stable sheaves
on abelian surfaces are birationally equivalent, if the associated Mukai
vectors are related by isometries of the Mukai lattice.

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