Algebraic differential equations associated to some polynomials
arXiv:1305.6778
Abstract
We compute the Gauss-Manin differential equation for any period of a polynomial in \ $\C[x_{0},\dots, x_{n}]$ \ with \ \ monomials. We give two general factorizations theorem in the algebra \ $\C< z, (\frac{\partial}{\partial z})^{-1}>$ \ for such a differential equations.
20 pages. Quelques améliorations et corrections