The Brauer-Manin obstruction to the local-global principle for the embedding problem

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Title: The Brauer-Manin obstruction to the local-global principle for the embedding problem
Authors: Pal, A
Schlank, TM
Item Type: Working Paper
Abstract: We study an analogue of the Brauer-Manin obstruction to the local-global principle for embedding problems over global fields. We will prove the analogues of several fundamental structural results. In particular we show that the (algebraic) Brauer-Manin obstruction is the only one to weak approximation when the embedding problem has abelian kernel. As a part of our investigations we also give a new, elegant description of the Tate duality pairing and prove a new theorem on the cup product.
Issue Date: 15-May-2017
URI: http://hdl.handle.net/10044/1/64428
Publisher: arXiv
Copyright Statement: © 2017 The Author(s).
Keywords: math.NT
Notes: Referenced upgraded. 37 pages
Publication Status: Published
Appears in Collections:Pure Mathematics
Mathematics
Faculty of Natural Sciences



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