T-structures on elliptic fibrations

Abstract

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.

29 pages. To appear in Kyoto J. Math

Cited by in corpus (5)

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• Duality Spectral Sequences for Weierstrass Fibrations and Applications
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• Preservation of semistability under Fourier-Mukai transforms