Chung, Hee-Joong, Kim, Dohyeong, Kim, Minhyong, Park, Jeehoon and Yoo, Hwajong (2020) Arithmetic Chern-Simons theory II. In: Bhatt, Bhargav and Olsson, Martin, (eds.) p-adic Hodge Theory. Simons Symposia . Springer International Publishing. ISBN 9783030438432 (In Press)

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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.

Item Type:	Book Item
Divisions:	Faculty of Science > Mathematics
Series Name:	Simons Symposia
Publisher:	Springer International Publishing
ISBN:	9783030438432
ISSN:	2194-1009
Book Title:	p-adic Hodge Theory
Editor:	Bhatt, Bhargav and Olsson, Martin
Official Date:	2020
Dates:	Date Event 2020 Published 22 February 2020 Accepted
Date of first compliant deposit:	15 April 2020
DOI:	10.1007/978-3-030-43844-9
Status:	Peer Reviewed
Publication Status:	In Press
Publisher Statement:	This is a post-peer-review, pre-copyedit version of a book chapter published in p-adic Hodge Theory. The final authenticated version is available online at: http://dx.doi.org/10.1007/978-3-030-43844-9
Access rights to Published version:	Restricted or Subscription Access
Related URLs:	Publisher Other

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