Geodesic
Hearts for commutative Noetherian rings: torsion pairs and derived equivalences
Documenta mathematica, Tome 26 (2021), pp. 829-871

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Over a commutative noetherian ring R, the prime spectrum controls, via the assignment of support, the structure of both Mod(R) and D(R). We show that, just like in Mod(R), the assignment of support classifies hereditary torsion pairs in the heart of any nondegenerate compactly generated t-structure of D(R). Moreover, we investigate whether these t-structures induce derived equivalences, obtaining a new source of Grothendieck categories which are derived equivalent to Mod(R).
DOI : 10.4171/dm/831
Classification : 13D09, 13D30, 18E10, 18G80
Mots-clés : derived equivalence, support, HRS-tilting, hereditary torsion pairs, commutative Noetherian ring 
Sergio Pavon; Jorge Vitória. Hearts for commutative Noetherian rings: torsion pairs and derived equivalences. Documenta mathematica, Tome 26 (2021), pp. 829-871. doi: 10.4171/dm/831
@article{10_4171_dm_831,
     author = {Sergio Pavon and Jorge Vit\'oria},
     title = {Hearts for commutative {Noetherian} rings: torsion pairs and derived equivalences},
     journal = {Documenta mathematica},
     pages = {829--871},
     year = {2021},
     volume = {26},
     doi = {10.4171/dm/831},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/dm/831/}
}
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