In this talk, we investigate MHV tree-level gravity amplitudes as defined on the spinor-helicity variety. Unlike their gluon counterparts, gravity amplitudes do not admit logarithmic singularities nor Amplituhedron-like construction. While their singularity structure is more complicated (e.g., they exhibit non-trivial zeros), these amplitudes often remain remarkably simple. In joint work with Joris Koefler, Umut Oktem, Shruti Paranjape, and Jara Trnka, we make a conjecture pertaining to the uniqueness of the numerator of MHV gravity amplitudes and develop this feature from a combinatorial perspective, which suggests a new method for examining adjoint hypersurfaces.