activity
20162022
most citedGluing compactly generated t-structures over stalks of affine schemes

1 citations · 1 across the 3 of their papers we have counts for

collaborators

9 papers

math.AC2023

The finite type of modules of bounded projective dimension and Serre's conditions

Michal Hrbek, Giovanna Le Gros

Let be a commutative noetherian ring. We prove that the class of modules of projective dimension bounded by is of finite type if and only if satisfies Serre's condition…

math.AC2022

Silting, cosilting, and extensions of commutative ring

Simion Breaz, Michal Hrbek, George Ciprian Modoi

We study the transfer of (co)silting objects in derived categories of module categories via the extension functors induced by a morphism of commutative rings. It is proved that the…

math.AC20211 cited

Gluing compactly generated t-structures over stalks of affine schemes

Michal Hrbek, Jiangsheng Hu, Rongmin Zhu

We show that compactly generated t-structures in the derived category of a commutative ring are in a bijection with certain families of compactly generated t-structures over th…

math.AC2019

Telescope conjecture for homotopically smashing t-structures over commutative noetherian rings

Michal Hrbek, Tsutomu Nakamura

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 telescope…

math.AC2019

Definable coaisles over rings of weak global dimension at most one

Silvana Bazzoni, Michal Hrbek

In the setting of the unbounded derived category D(R) of a ring R of weak global dimension at most one we consider t-structures with a definable coaisle. The t-structures among the…

math.AC2018

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

Michal Hrbek

We classify all compactly generated t-structures in the unbounded derived category of an arbitrary commutative ring, generalizing the result of [ATLJS10] for noetherian rings. More…