12 citations · 65 across the 25 of their papers we have counts for
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A Generalized Contou-Carrère Symbol and its Reciprocity Laws in Higher Dimensions
Oliver Braunling, Michael Groechenig, Jesse Wolfson
We generalize the theory of Contou-Carrère symbols to higher dimensions. To an -tuple , where denotes a commutative alg…
The Index Map in Algebraic K-Theory
Oliver Braunling, Michael Groechenig, Jesse Wolfson
For a ring , we construct a universal -torsor on the -theory space of Tate -modules. This torsor is closely related to canonical centra…
On the local residue symbol in the style of Tate and Beilinson
Oliver Braunling
Tate gave a famous construction of the residue symbol on curves by using some non-commutative operator algebra in the context of algebraic geometry. We explain Beilinson's multidim…
Tate Objects in Exact Categories (with appendix by Jan \vS\vtov\'ı\vcek and Jan Trlifaj)
Oliver Braunling, Michael Groechenig, Jesse Wolfson
We study elementary Tate objects in an exact category. We characterize the category of elementary Tate objects as the smallest sub-category of admissible Ind-Pro objects which cont…