On Spinors of Zero Nullity

We present a necessary and sufficient condition for a spinor $\omega$ to be of nullity zero, i.e. such that for any null vector $v$, $v \omega \ne 0$. This dives deeply in the subtle relations between a spinor $\omega$ and $\omega_c$, the (complex) conjugate of $\omega$ belonging to the same spinor space.