Geodesic
Operations on $t$-structures and perverse coherent sheaves
Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 651-674.

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We introduce the notions of consistent pairs and consistent chains of $t$-structures and prove that two consistent chains of $t$-structures generate a distributive lattice. The technique developed is then applied to the pairs of chains obtained from the standard $t$-structure on the derived category of coherent sheaves and the dual $t$-structure by means of the shift functor. This yields a family of $t$-structures whose hearts are known as perverse coherent sheaves.
Keywords: derived categories of coherent sheaves, perverse sheaves
Mots-clés : $t$-structures. 
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A. I. Bondal. Operations on $t$-structures and perverse coherent sheaves. Izvestiya. Mathematics , Tome 77 (2013) no. 4, pp. 651-674. http://geodesic.mathdoc.fr/item/IM2_2013_77_4_a1/

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