A Probable Hasse Principle for Pencils of Quadrics
A Probable Hasse Principle for Pencils of Quadrics
Let k be a global field, ${\text {char}}(k) \ne 2$. Although pencils of quadrics over k may fail to satisfy a local-to-global equivalence principle, the failures are exceptional in the precise sense of having limiting probability zero. The proof uses the classification of pairs of quadratic forms. It also requires …