46 citations · 95 across the 26 of their papers we have counts for
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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…
Telescope conjecture via homological residue fields with applications to schemes
Michal Hrbek
For a big tt-category, we give a characterization of the Telescope Conjecture (TC) in terms of definable tensor-ideals generated by homological residue fields. We formulate a stalk…
Product-complete tilting complexes and Cohen-Macaulay hearts
Michal Hrbek, Lorenzo Martini
We show that the cotilting heart associated to a tilting complex is a locally coherent and locally coperfect Grothendieck category (i.e. an Ind-completion of a small artinian a…
Restricted injective dimensions over Cohen-Macaulay rings
Michal Hrbek, Giovanna Le Gros
We show that the small and large restricted injective dimensions coincide for Cohen-Macaulay rings of finite Krull dimension. Based on this, and inspired by the recent work of Sath…