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## 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.

P(t)=N K/Q (x)≠0

satisfies the Hasse principle and weak approximation. The proof uses analytic methods.

Original language | English |
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Pages (from-to) | 1124-1190 |

Number of pages | 67 |

Journal | Geometric and Functional Analysis |

Volume | 22 |

Issue number | 5 |

DOIs | |

Publication status | Published - Oct 2012 |

## Keywords

- 14G05 (11D57, 14G25)

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Dive into the research topics of 'Quadratic polynomials represented by norm forms'. Together they form a unique fingerprint.## Projects

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