NORM FORMS FOR ARBITRARY NUMBER FIELDS AS PRODUCTS OF LINEAR POLYNOMIALS

被引：8

作者：

Browning, Tim D. ^{[1
]}

Matthiesen, Lilian ^{[2
]}

机构：

[1] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

[2] KTH, Dept Math, S-10044 Stockholm, Sweden

来源：

ANNALES SCIENTIFIQUES DE L ECOLE NORMALE SUPERIEURE | 2017年 / 50卷 / 06期

关键词：

RATIONAL-POINTS; 2; QUADRICS; PRIMES; INTERSECTIONS; EQUATIONS; PENCILS; THEOREM;

D O I：

10.24033/asens.2648

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a number field K/Q and a polynomial P is an element of Q[t], all of whose roots are in Q, let X be the variety defined by the equation N-K(x) = P(t). Combining additive combinatorics with descent we show that the Brauer Manin obstruction is the only obstruction to the Hasse principle and weak approximation on any smooth and projective model of X

引用

页码：1383 / 1446

页数：64

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