Abstract
We use the ideas of Bayer, Bertram, Macr and Toda to construct a Bridgeland stability condition on a principally polarized abelian threefold (X;L) with NS(X) = Z[‘] by establishing their Bogomolov{Gieseker-type inequality for certain tilt stable objects associated with the pair (A p 3‘=2;‘=2 ;Z p 3‘=2;‘=2 ) on X. This is done by proving the stronger result thatA p 3‘=2;‘=2 is preserved by a suitable Fourier{Mukai transform.
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