Abstract / Description of output
We show that the construction of Bayer, Bertram, Macri and Toda gives rise to a Bridgeland stability condition on a principally polarized abelian threefold with Picard rank one by establishing their conjectural generalized Bogomolov-Gieseker inequality for certain tilt stable objects. We do this by proving that a suitable Fourier-Mukai transform preserves the heart of a particular conjectural stability condition. We also show that the only reflexive sheaves with zero first and second Chern classes are the flat line bundles.
Original language | English |
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Pages (from-to) | 270-297 |
Number of pages | 28 |
Journal | Algebraic Geometry |
Volume | 2 |
Issue number | 3 |
DOIs | |
Publication status | Published - 3 Dec 2015 |