Inversion of parameterized hypersurfaces by means of subresultants

We present a subresultant-based algorithm for deciding if the parametrization of a toric hypersurface is invertible or not, and for computing the inverse of the parametrization in the case where it exists. The algorithm takes into account the monomial structure of the input polynomials. Categories and Subject Descriptors G.0 [Mathematics of Computing]: General General Terms Algorithms Keywords Multivariate Subresultants, Birational Maps.

• Type: Conference
• Year: 2004
• Where: ISSAC
• Authors: Laurent Busé, Carlos D'Andrea
• Keywords: Algorithms, Input Polynomials, ISSAC 2004, Toric Hypersurface