From the 2 of 12 linked papers with an AI index.
5 papers · 1 filter
On silting complexes associated to n-silting modules
Michal Hrbek, Jiangsheng Hu, Rongmin Zhu
We show that any (n+1)-term silting complex whose intermediate cohomology vanishes gives rise to an n-silting module, as recently introduced by Mao. Specializing to commutative noe…
Telescope conjecture for quiver representations over artinian rings
Michal Hrbek, Enrico Sabatini
Let be the derived category of representations of a small category over a commutative noetherian ring . We study the homotopically smashing t-structures on…
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…
Product-complete tilting complexes and Cohen-Macaulay hearts
Michal Hrbek, Lorenzo Martini
We show that the cotilting heart associated to a tilting complex is a locally coherent and locally coperfect Grothendieck category (i.e. an Ind-completion of a small artinian a…
Topological endomorphism rings of tilting complexes
Michal Hrbek
In a compactly generated triangulated category, we introduce a class of tilting objects satisfying certain purity condition. We call these the decent tilting objects and show that…