| Linear differential operators for polynomial equations (2002) | |||||||||||||||
Abstract | |||||||||||||||
| Given a squarefree polynomial P ∈ k0[x, y], k0 a number field, we construct a linear differential operator that allows one to calculate the genus of the complex curve defined by P = 0 (when P is absolutely irreducible), the absolute factorization of P over the algebraic closure of k0, and calculate information concerning the Galois group of P over k0(x) as well as over k0(x). | |||||||||||||||
Publication details | |||||||||||||||
| |||||||||||||||