6 citations · 9 across the 7 of their papers we have counts for
7 papers
Proxy smallness meets -structures
Michal Hrbek, Pat Lank, Giovanna Le Gros +1
We introduce a notion of proxy smallness for -structures on triangulated categories associated to a Noetherian scheme. Specifically, the theory is developed in the presence of t…
Detecting derived equivalences with the CHZ criterion
Sergio Pavon
In 2018, Chen, Han and Zhou introduced a criterion to determine whether the HRS-tilt at a given torsion pair induces derived equivalence. We showcase four applications of this crit…
Mutation and the Gabriel spectrum
Michal Hrbek, Sergio Pavon, Jorge Vitória
Mutations occur in multiple algebraic contexts, often enjoying good combinatorial properties. In this paper we study mutations of pure-injective cosilting objects in compactly gene…
Torsion-simple objects in abelian categories
Sergio Pavon
We introduce the notion of torsion-simple objects in an abelian category: these are the objects which are always either torsion or torsion-free with respect to any torsion pair. We…
Singular equivalences to locally coherent hearts of commutative noetherian rings
Michal Hrbek, Sergio Pavon
We show that Krause's recollement exists for any locally coherent Grothendieck category such that its derived category is compactly generated. As a source of such categories, we co…
Hearts for commutative noetherian rings: torsion pairs and derived equivalences
Sergio Pavon, Jorge Vitória
Over a commutative noetherian ring , the prime spectrum controls, via the assignment of support, the structure of both and . We show that, just…
Tilting modules and tilting torsion pairs - filtrations induced by tilting modules
Francesco Mattiello, Sergio Pavon, Alberto Tonolo
Tilting modules, generalising the notion of progenerator, furnish equivalences between pieces of module categories. This paper is dedicated to study how much these pieces say about…