Motives of graph hypersurfaces with torus operations

Abstract

We investigate graph hypersurfaces and study conditions under which graph hypersurfaces admit algebraic torus operations. This leads in principle to a computation of graph motives using the theorem of Bialynicki-Birula, provided one knows the fixed point loci in a resolution of singularities.

Completely revised version

References in corpus (3)

• On the periods of some Feynman integrals
• A K3 in phi4
• On one example and one counterexample in counting rational points on graph hypersurfaces