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math.AG2025
Categorification of sheaf theory
Germán Stefanich
We discuss a systematic procedure for categorifying presentable six-functor formalisms. Our main result produces, given the input of a representation of the -category of co…
math.AG2025
Dualizability of derived categories of algebraic stacks
Germán Stefanich
We show that, for a Noetherian algebraic stack with quasi-affine diagonal , the stable -category of quasi-coherent sheaves on is dualizable if and only if the reduce…
math.AG2025
Report on -descendability
Benjamin Antieau, Germán Stefanich
We introduce the notion of -descendability as well as a derived variant. We prove that several classes of descendable maps of commutative rings are $\mathbb{E}_\…