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math.RT2020
The HRS tilting process and Grothendieck hearts of t-structures
Carlos E. Parra, Manuel Saorín
In this paper we revisit the problem of determining when the heart of a t-structure is a Grothendieck category, with special attention to the case of the Happel-Reiten-Smalø (HSR)…
math.RT2019
Degenerating in Triangulated Categories
Manuel Saorín, Alexander Zimmermann
In previous work, based on work of Zwara and Yoshino, we defined and studied degenerations of objects in triangulated categories analogous to degeneration of modules. In triangulat…
math.RT2017
Contractibility of the stability manifold for silting-discrete algebras
David Pauksztello, Manuel Saorín, Alexandra Zvonareva
We show that any bounded t-structure in the bounded derived category of a silting-discrete algebra is algebraic, i.e. has a length heart with finitely many simple objects. As a cor…