The multinorm principle for linearly disjoint Galois extensions

TextLet L1L1 and L2L2 be finite separable extensions of a global field K  , and let EiEi be the Galois closure of LiLi over K   for i=1,2i=1,2. We establish a local-global principle for the product of norms from L1L1 and L2L2 (so-called multinorm principle  ) provided that the extensions E1E1 and E2E2 are linearly disjoint over K.VideoFor a video summary of this paper, please click here or visit http://www.youtube.com/watch?v=6fwHt_k5dVQ.