Towards analytic structure of Feynman parameter integrals with rational curves

A bstract We propose a strategy to study the analytic structure of Feynman parameter integrals where singularities integrand consist rational irreducible components. At core this is identification selected stratum discontinuities induced from integral, together with geometric method for computing their on principal sheet. For that yield multiple polylogarithms we expect data collected in be sufficient construction symbols. motivate analysis by Aomoto polylogarithms, and further check its validity illustrate technical details using examples quadric (which one-loop belong to). Generalizations higher-loop are commented at end.