We consider t-structures that naturally arise on elliptic fibrations. By filtering the category of coherent sheaves on an elliptic fibration using the torsion pairs corresponding to these t-structures, we prove results describing equivalences of t-structures under Fourier–Mukai transforms.
"t-Structures on elliptic fibrations." Kyoto J. Math. 56 (4) 701 - 735, December 2016. https://doi.org/10.1215/21562261-3664887