11 citations · 24 across the 6 of their papers we have counts for
4 papers · 1 filter
Graded-Tannakian categories of motives
Daniel Schäppi
Given a rigid tensor-triangulated category and a vector space valued homological functor for which the Künneth isomorphism holds, we construct a universal graded-Tannakian category…
Uniqueness of fiber functors and universal Tannakian categories
Daniel Schäppi
The principal aim of this note is to give an elementary proof of the fact that any two fiber functors of a Tannakian category are locally isomorphic. This builds on an idea of Deli…
Descent via Tannaka duality
Daniel Schäppi
Given a diagram of schemes, we can ask if a geometric object over one of them can be built from descent data (usually objects of the same type over the various other schemes in the…
Constructing colimits by gluing vector bundles
Daniel Schäppi
As already observed by Gabriel, coherent sheaves on schemes obtained by gluing affine open subsets can be described by a simple gluing construction. An example due to Ferrand shows…