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) …
[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 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) …
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 …
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 …
Singular equivalences to locally coherent hearts of commutative noetherian rings
M Hrbek, S Pavon - Journal of Algebra, 2023 - Elsevier
We show that Krause's recollement exists for any locally coherent Grothendieck category
whose derived category is compactly generated. As a source of such categories, we …
whose derived category is compactly generated. As a source of such categories, we …
The 𝑡-structure induced by an 𝑛-tilting module
S Bazzoni - Transactions of the American Mathematical Society, 2019 - ams.org
We study the $ t $-structure induced by an $ n $-tilting module $ T $ in the derived category
$\mathcal {D}(R) $ of a ring $ R $. Our main objective is to determine when the heart of the …
$\mathcal {D}(R) $ of a ring $ R $. Our main objective is to determine when the heart of the …
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 …
Complete intersections and derived categories
DJ Benson, JPC Greenlees - arXiv preprint arXiv:0906.4025, 2009 - arxiv.org
We propose a definition of when a triangulated category should be considered a complete
intersection. We show (using work of Avramov and Gulliksen) that for the derived category of …
intersection. We show (using work of Avramov and Gulliksen) that for the derived category of …
Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings
M Hrbek, T Nakamura - Journal of Pure and Applied Algebra, 2021 - Elsevier
We show that any homotopically smashing t-structure in the derived category of a
commutative noetherian ring is compactly generated. This generalizes the validity of the …
commutative noetherian ring is compactly generated. This generalizes the validity of the …