Failure of the local-global principle for isotropy of quadratic forms over function fields

Arithmetic theory of algebraic function fields (11R58) Quadratic forms over general fields (11E04) Galois cohomology (12G05) Calabi-Yau manifolds (algebro-geometric aspects) (14J32) Elliptic curves (14H52) Higher symbols, Milnor (K)-theory (19D45) (n)-folds ((n>4)) (14J40) Hasse principle, weak and strong approximation, Brauer-Manin obstruction (14G12)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Quadric surface bundles over surfaces
On the Chow group of codimension two of varieties over finite fields
An exact sequence for \(K^M_*/2\) with applications to quadratic forms
Generalised Kummer constructions and Weil restrictions
Quadratic forms over \(C[t_ 1,t_ 2\)]
Cohomologische Invarianten quadratischer Formen
Exponent and index of nonramified central simple algebras (with an appendix by Ofer Gabber).
Über ein Gegenbeispiel zum Normensatz
Motivic cohomology with \(\mathbb Z/2\)-coefficients
Twisted Pfister forms
Unramified cohomology in a product with an elliptic curve
On sums of squares and on elliptic curves over function fields
On quasi algebraic closure
The Brauer group of Kummer surfaces and torsion of elliptic curves
Four Dimensional Quadratic Forms OverF(X)Where and a Failure of the Strong Hasse Principle
Counterexamples to the Hasse Principle
Some remark on rational points
On the Valuations Centered in a Local Domain
Higher-Dimensional Modular Calabi–Yau Manifolds
Arithmetic on Curves of Genus 1 (V). Two Counter-Examples
Essential Dimensions of Algebraic Groups and a Resolution Theorem for G-Varieties
Cycles de codimension 2 etH³non ramifié pour les variétés sur les corps finis
Diophantine and cohomological dimensions
Einige im Kleinen überall lösbare, im Großen unlösbare diophantische Gleichungen.
Some Applications of the Local Uniformization Theorem
On the strong Hasse principle for fields of quotients of power series rings in two variables

This page was built for publication: Failure of the local-global principle for isotropy of quadratic forms over function fields