On PAC Extensions and Scaled Trace Forms
Number Theory
2007-08-29 v2
Abstract
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.
Keywords
Cite
@article{arxiv.0705.3573,
title = {On PAC Extensions and Scaled Trace Forms},
author = {Lior Bary-Soroker and Dubi Kelmer},
journal= {arXiv preprint arXiv:0705.3573},
year = {2007}
}