Gluing compactly generated t-structures over stalks of affine schemes

M Hrbek, J Hu, R Zhu - Israel Journal of Mathematics, 2024 - Springer
… In particular, any compactly generated t-structure is induced by a … object C of cofinite type
if the t-structure induced by it is … n-tilting R-modules and n-cotilting Rmodules of cofinite type. …

Tilting classes over commutative rings

M Hrbek, J Šťovíček - Forum Mathematicum, 2020 - degruyter.com
… We show that the n-tilting classes can equivalently be expressed as classes of all modules
… It turns out that the main classification theorem for tilting modules and classes induced by …

Topological endomorphism rings of tilting complexes

M Hrbek - Journal of the London Mathematical Society, 2024 - Wiley Online Library
n-tilting modules by Positselski and Št'ovíček. In the setting of the derived category of modules
… , we show that the heart of the t-structure induced by a decent tilting object is equivalent to …

Symmetric subcategories, tilting modules, and derived recollements

H Chen, C Xi - Revista Matemática Iberoamericana, 2023 - ems.press
… A left A-module T is called an n-tilting A-module if the following three conditions hold: …
We then employ the t-structure induced from the tilting module to realise the kernel ofAT L …

The tilting–cotilting correspondence

L Positselski, J Šťovíček - International Mathematics Research …, 2021 - academic.oup.com
… They are often induced by a tilting bimodule |${_{{\mathfrak{A}}} T_{{\mathfrak{R}}}}$| over
… ) |$n$|-cotilting module. The heart of a t-structure associated with a big |$n$|-tilting module is …

Compactly generated t-structures in the derived category of a commutative ring

M Hrbek - Mathematische Zeitschrift, 2020 - Springer
… by the recent classification of n-tilting modules [17], extending … As a corollary, any t-structure
induced by a (bounded) … the aisle of such a t-structure is determined by supports cohomology…

The HRS tilting process and Grothendieck hearts of t-structures

CE Parra, M Saorín - arXiv preprint arXiv:2001.08638, 2020 - arxiv.org
… when the heart of a t-structure is a Grothendieck category, … We end the section by giving a
series of bijections induced by … with an injective cogenerator and an n-tilting object correspond …

Contramodules and their applications to tilting theory

S Bazzoni - Representation Theory and Beyond, 2020 - books.google.com
… (For every n-tilting module T there is a set Y such that T (Y) is a good … Let T be an n-tilting
left R-module and R= HomR (T, T) op. Let B be the heart of the tilting t-structure induced by T on …

Relative AR-correspondence, co-t-structure and silting pair

P Zhang, D Liu, J Wei - arXiv preprint arXiv:2205.08872, 2022 - arxiv.org
module and they proved that there is a bijection between silting complexes and certain t-structure
and co-t-structure in the derived module … TPDď0 is said to be semi-n-tilting, if T is semi-…

[HTML][HTML] t-Structures on stable derivators and Grothendieck hearts

M Saorín, J Šťovíček, S Virili - Advances in Mathematics, 2023 - Elsevier
… a t-structure in its base triangulated category D , the t-structure … ( G ) of an Abelian category
G induced by a torsion pair in G . … -Smalø t-structure in D ( G ) , for a Grothendieck or module