Add to ORKGAbstract. Given a number field K/Q and a polynomial P ∈ Q[t], all of whose roots are in Q, let X be the variety defined by the equation NK(x) = P (t). Combining additive combinatorics with descent we show that the Brauer–Manin obstruction is the only ob-struction to the Hasse principle and weak approximation on any smooth and projective model of X. Content
A classical result of Hasse states that the norm principle holds for finite cyclic extensions of glo...
Let K/k be an extension of number fields. We describe theoretical results and computational methods ...
Let X be a smooth projective variety defined over a number field K. A fundamental problem in arithme...
© 2014, Springer-Verlag Berlin Heidelberg. Let (Formula presented.) be an extension of number fields...
A central question in Arithmetic geometry is to determine for which polynomials $f \in \mathbb{Z}[t]...
Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ...
AbstractWe study Brauer–Manin obstructions to the Hasse principle and to weak approximation, with sp...
Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ...
AbstractWe study Brauer–Manin obstructions to the Hasse principle and to weak approximation on algeb...
This thesis is concerned with local to global (Hasse) principles in algebraic number theory. We cons...
For a family of varieties over a number field, we give conditions under which 100% of members have n...
We study Brauer-Manin obstructions to the Hasse principle and to weak approximation on algebraic sur...
Abstract. Given a family of varieties X → Pn over a number field k, we determine conditions under wh...
The Brauer–Manin obstruction is a concept which has been very effective in finding counter-examples ...
Given a smooth projective geometrically connected variety X over a number field k, we say that X fai...
A classical result of Hasse states that the norm principle holds for finite cyclic extensions of glo...
Let K/k be an extension of number fields. We describe theoretical results and computational methods ...
Let X be a smooth projective variety defined over a number field K. A fundamental problem in arithme...
© 2014, Springer-Verlag Berlin Heidelberg. Let (Formula presented.) be an extension of number fields...
A central question in Arithmetic geometry is to determine for which polynomials $f \in \mathbb{Z}[t]...
Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ...
AbstractWe study Brauer–Manin obstructions to the Hasse principle and to weak approximation, with sp...
Let P(t) ∈ ℚ[t] be an irreducible quadratic polynomial and suppose that K is a quartic extension of ...
AbstractWe study Brauer–Manin obstructions to the Hasse principle and to weak approximation on algeb...
This thesis is concerned with local to global (Hasse) principles in algebraic number theory. We cons...
For a family of varieties over a number field, we give conditions under which 100% of members have n...
We study Brauer-Manin obstructions to the Hasse principle and to weak approximation on algebraic sur...
Abstract. Given a family of varieties X → Pn over a number field k, we determine conditions under wh...
The Brauer–Manin obstruction is a concept which has been very effective in finding counter-examples ...
Given a smooth projective geometrically connected variety X over a number field k, we say that X fai...
A classical result of Hasse states that the norm principle holds for finite cyclic extensions of glo...
Let K/k be an extension of number fields. We describe theoretical results and computational methods ...
Let X be a smooth projective variety defined over a number field K. A fundamental problem in arithme...