12 citations · 65 across the 25 of their papers we have counts for
4 papers · 1 filter
Relative Tate Objects and Boundary Maps in the K-Theory of Coherent Sheaves
Oliver Braunling, Michael Groechenig, Jesse Wolfson
We investigate the properties of relative analogues of admissible Ind, Pro, and elementary Tate objects for pairs of exact categories, and give criteria for those categories to be…
Geometric and analytic structures on the higher adèles
Oliver Braunling, Michael Groechenig, Jesse Wolfson
The adèles of a scheme have local components - these are topological higher local fields. The topology plays a large role since Yekutieli showed in 1992 that there can be an abunda…
Operator ideals in Tate objects
Oliver Braunling, Michael Groechenig, Jesse Wolfson
Tate's central extension originates from 1968 and has since found many applications to curves. In the 80s Beilinson found an n-dimensional generalization: cubically decomposed alge…
Oeljeklaus-Toma manifolds and arithmetic invariants
O. Braunling
Oeljeklaus-Toma (OT) manifolds are certain compact complex manifolds built from number fields. Conversely, we show that the fundamental group often pins down the number field uniqu…