3 papers
math.CT2026
Semi-Bousfield classes and nonmonotone perversities
Dolors Herbera, Michal Hrbek, Giovanna Le Gros
In the generality of a rigidly-compactly generated tensor triangulated category, we introduce semi-Bousfield classes in terms of the vanishing of the tensor product in positive deg…
math.AG2026
Proxy smallness meets -structures
Michal Hrbek, Pat Lank, Giovanna Le Gros +1
We introduce a notion of proxy smallness for -structures on triangulated categories associated to a Noetherian scheme. Specifically, the theory is developed in the presence of t…
math.AC2023
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…