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Oliver Braunling
On the local residue symbol in the style of Tate and Beilinson
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| Published: |
August 20,2018. |
| Keywords: |
Residues, residue symbol, Tate residue, Grothendieck duality, adeles. |
| Subject: |
Primary 32A27; 14B15; Secondary 14F05; 32C37. |
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Abstract
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 multidimensional generalization, which is not so
well-documented in the literature. We provide a new approach using Hochschild homology.
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| Acknowledgements
This work has been partially supported by the DFG SFB/TR45 "Periods, moduli spaces, and arithmetic of algebraic varieties" and the Alexander von Humboldt Stiftung.
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| Author information
Oliver Braunling:
Freiburg Institute for Advanced Studies (FRIAS), University of Freiburg, Albertstrasse 19, D-79104 Freiburg, Germany
oliver.braeunling@math.uni-freiburg.de
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