[PDF][PDF] Classifying compactly generated t-structures on the derived category of a noetherian ring
We classify complactly generated t-structures on the derived category of modules over a
commutative Noetherian ring R in terms of decreasing filtrations by supports on Spec (R). A …
commutative Noetherian ring R in terms of decreasing filtrations by supports on Spec (R). A …
Compactly generated t-structures on the derived category of a Noetherian ring
We study t-structures on D (R) the derived category of modules over a commutative
Noetherian ring R generated by complexes in Dfg−(R). We prove that they are exactly the …
Noetherian ring R generated by complexes in Dfg−(R). We prove that they are exactly the …
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) …
Hearts of t-structures which are Grothendieck or module categories
CE Parra - arXiv preprint arXiv:1409.6639, 2014 - arxiv.org
This thesis deals with the general problem of determining when the heart $\mathcal {H} $ of
a t-structure in a triangulated category $\mathcal {D} $ is a Grothendieck or a module …
a t-structure in a triangulated category $\mathcal {D} $ is a Grothendieck or a module …
Compactly generated t-structures in the derived category of a commutative ring
M Hrbek - Mathematische Zeitschrift, 2020 - Springer
We classify all compactly generated t-structures in the unbounded derived category of an
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …
arbitrary commutative ring, generalizing the result of Alonso Tarrío et al.(J Algebra 324 (3) …
Invariants of t-structures and classification of nullity classes
D Stanley - Advances in Mathematics, 2010 - Elsevier
We construct an invariant of t-structures on the derived category of a commutative
noetherian ring. This invariant is complete when restricting to the category of complexes with …
noetherian ring. This invariant is complete when restricting to the category of complexes with …
Hearts of t-structures which are Grothendieck categories
C Parra, M Saorín - RECENT TRENDS IN RINGS AND ALGEBRAS. 2013 - um.es
T-structures on triangulated categories were introduced in the early eighties by Beillison,
Berstein and Deligne in their study of the perverse sheaves on an algebraic or an analytic …
Berstein and Deligne in their study of the perverse sheaves on an algebraic or an analytic …
Invariants of t-structures and classification of nullity classes
D Stanley - arXiv preprint math/0602252, 2006 - arxiv.org
We construct an invariant of t-structures on the derived category of a Noetherian ring. This
invariant is complete when restricting to the category of quasi-coherent complexes, and also …
invariant is complete when restricting to the category of quasi-coherent complexes, and also …
t-Structures and cotilting modules over commutative noetherian rings
L Angeleri Hügel, M Saorín - Mathematische Zeitschrift, 2014 - Springer
For a commutative noetherian ring\(R\), we establish a bijection between the resolving
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …
subcategories consisting of finitely generated\(R\)-modules of finite projective dimension …
Parametrizing torsion pairs in derived categories
L Angeleri Hügel, M Hrbek - … Theory of the American Mathematical Society, 2021 - ams.org
We investigate parametrizations of compactly generated t-structures, or more generally, t-
structures with a definable coaisle, in the unbounded derived category $\mathrm …
structures with a definable coaisle, in the unbounded derived category $\mathrm …