TY - JOUR
T1 - On PAC extensions and scaled trace forms
AU - Bary-Soroker, Lior
AU - Kelmer, Dubi
PY - 2010/1
Y1 - 2010/1
N2 - Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields, in particular, prosolvable and prime-to-p extensions of a Hilbertian field. The proofs are based on the theory of PAC extensions.
AB - Any non-degenerate quadratic form over a Hilbertian field (e.g., a number field) is isomorphic to a scaled trace form. In this work we extend this result to more general fields, in particular, prosolvable and prime-to-p extensions of a Hilbertian field. The proofs are based on the theory of PAC extensions.
UR - http://www.scopus.com/inward/record.url?scp=77950009152&partnerID=8YFLogxK
U2 - 10.1007/s11856-010-0004-2
DO - 10.1007/s11856-010-0004-2
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AN - SCOPUS:77950009152
SN - 0021-2172
VL - 175
SP - 113
EP - 124
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 1
ER -