2016/02/16 by Ambrus Pál, Pal, Ambrus, Tomer M. Schlank +1
Mathematics · Computer Science · #Algebraic Geometry and Number Theory #Coding theory and cryptography #Algebraic structures and combinatorial models
paper · pdf · doi:10.48550/arxiv.1602.04998
We study an analogue of the Brauer-Manin obstruction to the local-global\nprinciple for embedding problems over global fields. We will prove the\nanalogues of several fundamental structural results. In particular we show that\nthe (algebraic) Brauer-Manin obstruction is the only one to weak approximation\nwhen the embedding problem has abelian kernel. As a part of our investigations\nwe also give a new, elegant description of the Tate duality pairing and prove a\nnew theorem on the cup product.\n