TWO THEOREMS ON COHOMOLOGICAL PAIRINGS

Ambrus Pál; Tomer M. Schlank

doi:10.4310/HHA.2023.v25.n2.a1

TWO THEOREMS ON COHOMOLOGICAL PAIRINGS

Ambrus Pál, Tomer M. Schlank

Einstein Institute of Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We give a new, elegant description of the Tate duality pairing as a Brauer–Manin pairing for associated embedding problems and prove a new theorem on the cup product.

Original language	American English
Pages (from-to)	1-20
Number of pages	20
Journal	Homology, Homotopy and Applications
Volume	25
Issue number	2
DOIs	https://doi.org/10.4310/HHA.2023.v25.n2.a1
State	Published - 2023

Bibliographical note

Funding Information:
The first author was partially supported by the EPSRC grants P19164 and P36794. The second author was partially supported by ISF1588/18 and BSF2018389.

Publisher Copyright:
© 2023, International Press. Permission to copy for private use granted.

Keywords

Brauer–Manin pairing
cup product
embedding problem

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10.4310/HHA.2023.v25.n2.a1

Cite this

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title = "TWO THEOREMS ON COHOMOLOGICAL PAIRINGS",

abstract = "We give a new, elegant description of the Tate duality pairing as a Brauer–Manin pairing for associated embedding problems and prove a new theorem on the cup product.",

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author = "Ambrus P{\'a}l and Schlank, {Tomer M.}",

note = "Funding Information: The first author was partially supported by the EPSRC grants P19164 and P36794. The second author was partially supported by ISF1588/18 and BSF2018389. Publisher Copyright: {\textcopyright} 2023, International Press. Permission to copy for private use granted.",

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AU - Schlank, Tomer M.

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KW - embedding problem

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TWO THEOREMS ON COHOMOLOGICAL PAIRINGS

Abstract

Bibliographical note

Keywords

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