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arXiv · 1106.5217

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

Hiroki Minamide·Shintarou Yanagida·Kota Yoshioka
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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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Hiroki Minamide, Shintarou Yanagida, Kota Yoshioka. 2012-11-26. Fourier-Mukai transforms and the wall-crossing behavior for Bridgeland's stability conditions. https://arxiv.org/abs/1106.5217

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