Principes locaux-globaux pour certaines fibrations en torseurs sous un tore

Arne Smeets

Let $k$ be a number field and let $T$ be a $k$-torus. Consider a fibration in torsors under $T$, i.e. a morphism $f:X\to {\mathbb{P}}_k^1$ from a smooth, projective $k$-variety $X$…