Journal article
Four-fold Massey products in Galois cohomology
- Abstract:
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In this paper, we develop a new necessary and sufficient condition for the vanishing of -Massey products of elements in the modulo- Galois cohomology of a field. This new description allows us to define a splitting variety for -Massey products, which is shown in the appendix to satisfy a local-to-global principle over number fields. As a consequence, we prove that, for a number field, all such -Massey products vanish whenever they are defined. This provides new explicit restrictions on th...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 454.2KB)
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- Publisher copy:
- 10.1112/S0010437X18007297
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Authors
Funding
+ Engineering and Physical Sciences Research Council
More from this funder
Funding agency for:
Topaz, A
Grant:
EP/M024830/1
Bibliographic Details
- Publisher:
- Cambridge University Press Publisher's website
- Journal:
- Compositio Mathematica Journal website
- Volume:
- 154
- Issue:
- 9
- Pages:
- 1921-1959
- Publication date:
- 2018-08-17
- Acceptance date:
- 2018-03-26
- DOI:
- EISSN:
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1570-5846
- ISSN:
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0010-437X
- Source identifiers:
-
854091
Item Description
- Keywords:
- Pubs id:
-
pubs:854091
- UUID:
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uuid:6f186033-5083-4ee3-a460-e5d6acaf2f79
- Local pid:
- pubs:854091
- Deposit date:
- 2018-05-28
Terms of use
- Copyright holder:
- Guillot et al
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 The Authors. This is the accepted manuscript version of the article. The final version is available online from Cambridge University Press at: https://doi.org/10.1112/S0010437X18007297
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