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

The Hebrew University of Jerusalem

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	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

Keywords

Brauer–Manin pairing
cup product
embedding problem

All Science Journal Classification (ASJC) codes

Mathematics (miscellaneous)

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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.",

keywords = "Brauer–Manin pairing, cup product, embedding problem",

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

note = "Publisher Copyright: {\textcopyright} 2023, International Press. Permission to copy for private use granted.",

year = "2023",

doi = "10.4310/HHA.2023.v25.n2.a1",

language = "الإنجليزيّة",

volume = "25",

pages = "1--20",

journal = "Homology, Homotopy and Applications",

issn = "1532-0073",

publisher = "International Press of Boston, Inc.",

number = "2",

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AU - Pál, Ambrus

AU - Schlank, Tomer M.

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AB - 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.

KW - Brauer–Manin pairing

KW - cup product

KW - embedding problem

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U2 - 10.4310/HHA.2023.v25.n2.a1

DO - 10.4310/HHA.2023.v25.n2.a1

M3 - مقالة

SN - 1532-0073

VL - 25

SP - 1

EP - 20

JO - Homology, Homotopy and Applications

JF - Homology, Homotopy and Applications

IS - 2

ER -

TWO THEOREMS ON COHOMOLOGICAL PAIRINGS

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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