Projects per year
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 |
---|---|
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)
Fingerprint
Dive into the research topics of 'Quadratic polynomials represented by norm forms'. Together they form a unique fingerprint.Projects
- 1 Finished
-
DIOPHANTINE GEOMETRY VIA ANALYTIC NUMBER THEORY
Browning, T. D. (Principal Investigator)
1/09/07 → 1/04/13
Project: Research