The elementary obstruction and homogeneous spaces

M. Borovoi, J-L. Colliot-Thélène, A. N. Skorobogatov

Let $k$ be a field of characteristic zero and $\bar{k}$ an algebraic closure of $k$. For a geometrically integral variety $X$ over $k$, we write $\bar{k}(X)$ for the function fie…