The Scattering Variety

Understand

The so-called Scattering Equations which govern the kinematics of the scattering of massless particles in arbitrary dimensions have recently been cast into a system of homogeneous polynomials.

• We study these as affine and projective geometries which we call Scattering Varieties by analyzing such properties as Hilbert series, Euler characteristic and singularities.
• Interestingly, we find structures such as affine Calabi-Yau threefolds as well as singular K3 and Fano varieties.