  We show that the space of gravitational spinors in eleven dimensions, defined
by equations $\Gamma_{\alpha\beta}^i\lambda^{\alpha}\lambda^{\beta}=0$ admits a
desingularization with nice geometric properties. In particular the
desingularization fibers over the isotropic Grassmannian OGr(2,11). This
enables us to recast equations of linearized eleven-dimensional supergravity
adapted to 3-form potential into Cauchy-Riemann equations on a super extension
of isotropic Grassmannian OGr(2,11).
