Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions
Algebraic Geometry
2012-11-27 v2
Abstract
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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Cite
@article{arxiv.1106.5217,
title = {Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions},
author = {Hiroki Minamide and Shintarou Yanagida and Kota Yoshioka},
journal= {arXiv preprint arXiv:1106.5217},
year = {2012}
}
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48 pages