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math.AC2011
Anisotropy and the integral closure
Michiel Kosters
Let K be a number field and let A be an order in K. The trace map from K to Q induces a non-degenerate symmetric bilinear form <,>: B x B \to Q/Z where B is a certain finite abelia…
math.AC2011
Anisotropic modules over artinian principal ideal rings
Michiel Kosters
Let V be a finite-dimensional vector space over a field k and let W be a 1-dimensional k-vector space. Let < , >: V x V \to W be a symmetric bilinear form. Then < , > is called ani…