Fourier-Mukai transforms and Bridgeland stability conditions on Abelian threefolds II

Antony Maciocia, Dulip Piyaratne

Research output: Contribution to journalArticlepeer-review

Abstract

We show that the conjectural construction proposed by Bayer, Bertram, Macr\'i and Toda gives rise to Bridgeland stability conditions for a principally polarized abelian three-fold with Picard rank one by proving that tilt stable objects satisfy the strong Bogomolov-Gieseker type inequality. This is done by showing any Fourier-Mukai transform gives an equivalence of abelian categories which are double tilts of coherent sheaves.
Original languageEnglish
Article number1650007
JournalInternational Journal of Mathematics
Volume27
Issue number1
DOIs
Publication statusPublished - 12 Jan 2016

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