SMALL ZEROS OF QUADRATIC FORMS OVER $\overline{\mathbb{Q}}$
SMALL ZEROS OF QUADRATIC FORMS OVER $\overline{\mathbb{Q}}$
Let N ≥ 2 be an integer, F a quadratic form in N variables over [Formula: see text], and [Formula: see text] an L-dimensional subspace, 1 ≤ L ≤ N. We prove the existence of a small-height maximal totally isotropic subspace of the bilinear space (Z,F). This provides an analogue …