28 citations · 59 across the 11 of their papers we have counts for
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Localizations of tensor categories and fiber products of schemes
Martin Brandenburg
We prove that the tensor category of quasi-coherent modules on a fiber product of quasi-compact quasi-separated schemes is the bicategorical pushout o…
Tensor categorical foundations of algebraic geometry
Martin Brandenburg
Tannaka duality and its extensions by Lurie, Schäppi et al. reveal that many schemes as well as algebraic stacks may be identified with their tensor categories of quasi-coherent sh…
Rosenberg's Reconstruction Theorem (after Gabber)
Martin Brandenburg
Alexander L. Rosenberg has constructed a spectrum for abelian categories which is able to reconstruct a quasi-separated scheme from its abelian category of quasi-coherent sheaves.…
Tensor functors between categories of quasi-coherent sheaves
Martin Brandenburg, Alexandru Chirvasitu
For a quasi-compact quasi-separated scheme X and an arbitrary scheme Y we show that the pullback construction implements an equivalence between the discrete category of morphisms Y…
Tensorial schemes
Martin Brandenburg
Jacob Lurie (arXiv:math/0412266) has shown that for geometric stacks X,Y every cocontinuous tensor functor F : Qcoh(X) -> Qcoh(Y) is the pullback of a morphism Y -> X under the add…