39 citations · 65 across the 8 of their papers we have counts for
7 papers · 1 filter
Silting Theory in triangulated categories with coproducts
Pedro Nicolas, Manuel Saorin, Alexandra Zvonareva
We introduce the notion of noncompact (partial) silting and (partial) tilting sets and objects in any triangulated category D with arbitrary (set-indexed) coproducts. We show that…
Generalized tilting theory
Pedro Nicolas, Manuel Saorin
We study necessary and sufficient conditions for a dg bimodule to yield triangle equivalences between (quotients of) the corresponding derived categories. This is related to recent…
Weight structures and simple dg modules for positive dg algebras
Bernhard Keller, Pedro Nicolas
Using techniques due to Dwyer-Greenlees-Iyengar we construct weight structures in triangulated categories generated by compact objects. We apply our result to show that, for a dg c…
Lifting and restricting recollement data
Pedro Nicolas, Manuel Saorin
We study the problem of lifting and restricting TTF triples (equivalently, recollement data) for a certain wide type of triangulated categories. This, together with the parametriza…
On torsion torsionfree triples
Pedro Nicolas
We study torsion torsionfree(=TTF) triples in abelian and triangulated categories. (Notice that TTF triples in a triangulated category are essentially in bijection with recollement…
Parametrizing recollement data
Pedro Nicolas, Manuel Saorin
We give a general parametrization of all the recollement data for a triangulated category with a set of generators. From this we deduce a characterization of when a perfectly gener…