--- res: bibo_abstract: - Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ℚ containing the roots of P(t). Let N K/ℚ(X) be a full norm form for the extension K/ℚ. We show that the variety P(t) =N K/ℚ(X)≠ 0 satisfies the Hasse principle and weak approximation. The proof uses analytic methods.@eng bibo_authorlist: - foaf_Person: foaf_givenName: Timothy D foaf_name: Timothy Browning foaf_surname: Browning foaf_workInfoHomepage: http://www.librecat.org/personId=35827D50-F248-11E8-B48F-1D18A9856A87 orcid: 0000-0002-8314-0177 - foaf_Person: foaf_givenName: Roger foaf_name: Heath-Brown, Roger foaf_surname: Heath Brown bibo_doi: 10.1007/s00039-012-0168-5 bibo_issue: '5' bibo_volume: 22 dct_date: 2012^xs_gYear dct_publisher: Springer Basel@ dct_title: Quadratic polynomials represented by norm forms@ ...