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Diophantine geometry and non-abelian reciprocity laws I

Abstract:
We use non-abelian fundamental groups to define a sequence of higher reciprocity maps on the adelic points of a variety over a number field satisfying certain conditions in Galois cohomology. The non-abelian reciprocity law then states that the global points are contained in the kernel of all the reciprocity maps.
Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1007/978-3-319-45032-2_9

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author


Publisher:
Springer, Cham
Host title:
Elliptic Curves, Modular Forms and Iwasawa Theory. JHC70 2015
Pages:
311–334
Series:
Springer Proceedings in Mathematics & Statistics
Series number:
188
Publication date:
2017-01-16
Acceptance date:
2016-02-18
Event title:
Elliptic Curves, Modular Forms and Iwasawa Theory - Conference in honour of the 70th birthday of John Coates
Event location:
Cambridge, UK
Event website:
https://people.maths.bris.ac.uk/~matyd/JHC70/
Event start date:
2015-03-25
Event end date:
2015-03-27
DOI:
EISSN:
2194-1017
ISSN:
2194-1009
EISBN:
978-3-319-45032-2
ISBN:
978-3-319-45031-5


Language:
English
Keywords:
Pubs id:
pubs:445628
UUID:
uuid:bd8ed4ca-54ac-4345-8ef7-c2c1b216ef7d
Local pid:
pubs:445628
Source identifiers:
445628
Deposit date:
2017-01-06

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