Towards Toric Absolute Factorization

M Elkadi (1) , A Galligo (1) , M Weimann (2, 3, 1)

1 UNS - Université Nice Sophia Antipolis (1965 - 2019)
2 UNICAEN - Université de Caen Normandie
3 LMNO - Laboratoire de Mathématiques Nicolas Oresme

This article gives an algorithm to recover the absolute factorization of a bivariate polynomial, taking into account the geometry of its monomials. It is based on algebraic criterions inherited from algebraic interpolation and toric geometry.

Domains: Mathematics [math]; Mathematics [math]; Algebraic Geometry [math.AG]

M Elkadi, A Galligo, M Weimann. Towards Toric Absolute Factorization. Journal of Symbolic Computation, 2009. ⟨hal-02137308⟩