Bezrukavnikov, later together with Arinkin, recovered Deligne’s work defining perverse t-structures in the derived category of coherent sheaves on a projective scheme. We prove that these t-structures can be obtained through tilting with respect to torsion theories, as in the work of Happel, Reiten and Smalø. This approach allows us to define, in the quasi-coherent setting, similar perverse t-structures for certain noncommutative projective planes.

Perverse coherent t-structures through torsion theories

DOS SANTOS VITORIA, JORGE NUNO
2014-01-01

Abstract

Bezrukavnikov, later together with Arinkin, recovered Deligne’s work defining perverse t-structures in the derived category of coherent sheaves on a projective scheme. We prove that these t-structures can be obtained through tilting with respect to torsion theories, as in the work of Happel, Reiten and Smalø. This approach allows us to define, in the quasi-coherent setting, similar perverse t-structures for certain noncommutative projective planes.
2014
t-structures; perverse coherent sheaves; torsion theory; noncommutative projective planes
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11562/766762
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