  Let $V$ be quadratic space of even dimension and of signature $(p, q)$ with
$p \geq q > 0$. We show that the Kudla-Millson lift of toric cycles - attached
to algebraic tori - is a cusp form that is the diagonal restriction of a
Hilbert modular form of parallel weight one. We deduce a formula relating the
dimension of the span of such diagonal restrictions and the dimension of the
span of toric and special cycles.
