{"issue":"5","publication":"Geometric and Functional Analysis","doi":"10.1007/s00039-012-0168-5","type":"journal_article","status":"public","date_updated":"2021-01-12T06:57:26Z","day":"25","year":"2012","_id":"243","extern":1,"volume":22,"quality_controlled":0,"publication_status":"published","intvolume":" 22","publist_id":"7661","abstract":[{"text":"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.","lang":"eng"}],"publisher":"Springer Basel","author":[{"full_name":"Timothy Browning","orcid":"0000-0002-8314-0177","first_name":"Timothy D","last_name":"Browning","id":"35827D50-F248-11E8-B48F-1D18A9856A87"},{"last_name":"Heath Brown","first_name":"Roger","full_name":"Heath-Brown, Roger"}],"month":"08","citation":{"short":"T.D. Browning, R. Heath Brown, Geometric and Functional Analysis 22 (2012) 1124–1190.","chicago":"Browning, Timothy D, and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” Geometric and Functional Analysis. Springer Basel, 2012. https://doi.org/10.1007/s00039-012-0168-5.","ama":"Browning TD, Heath Brown R. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 2012;22(5):1124-1190. doi:10.1007/s00039-012-0168-5","ista":"Browning TD, Heath Brown R. 2012. Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. 22(5), 1124–1190.","ieee":"T. D. Browning and R. Heath Brown, “Quadratic polynomials represented by norm forms,” Geometric and Functional Analysis, vol. 22, no. 5. Springer Basel, pp. 1124–1190, 2012.","apa":"Browning, T. D., & Heath Brown, R. (2012). Quadratic polynomials represented by norm forms. Geometric and Functional Analysis. Springer Basel. https://doi.org/10.1007/s00039-012-0168-5","mla":"Browning, Timothy D., and Roger Heath Brown. “Quadratic Polynomials Represented by Norm Forms.” Geometric and Functional Analysis, vol. 22, no. 5, Springer Basel, 2012, pp. 1124–90, doi:10.1007/s00039-012-0168-5."},"title":"Quadratic polynomials represented by norm forms","date_published":"2012-08-25T00:00:00Z","page":"1124 - 1190","date_created":"2018-12-11T11:45:24Z"}