On locally coherent hearts
M Saorín - Pacific Journal of Mathematics, 2017 - msp.org
Let G be a locally coherent Grothendieck category. We show that, under particular
conditions, if a t-structure τ in the unbounded derived category D (G) restricts to the bounded …
conditions, if a t-structure τ in the unbounded derived category D (G) restricts to the bounded …
Hearts of t-structures in the derived category of a commutative Noetherian ring
C Parra, M Saorin - Transactions of the American Mathematical Society, 2017 - ams.org
Let $ R $ be a commutative Noetherian ring and let $\mathcal D (R) $ be its (unbounded)
derived category. We show that all compactly generated t-structures in $\mathcal D (R) …
derived category. We show that all compactly generated t-structures in $\mathcal D (R) …
Classifying space of subcategories and its application
Y Liu - arXiv preprint arXiv:1709.02982, 2017 - arxiv.org
For a collection of subcategories satisfying a fixed set of conditions, for example thick
subcategories of a triangulated category, we define a topological space called classifying …
subcategories of a triangulated category, we define a topological space called classifying …