English

Algebraic differential equations associated to some polynomials

Algebraic Geometry 2014-03-04 v2 Complex Variables

Abstract

We compute the Gauss-Manin differential equation for any period of a polynomial in \ \C[x0,,xn]\C[x_{0},\dots, x_{n}] \ with \ (n+2)(n+2) \ monomials. We give two general factorizations theorem in the algebra \ \C<z,(z)1>\C< z, (\frac{\partial}{\partial z})^{-1}> \ for such a differential equations.

Keywords

Cite

@article{arxiv.1305.6778,
  title  = {Algebraic differential equations associated to some polynomials},
  author = {Daniel Barlet},
  journal= {arXiv preprint arXiv:1305.6778},
  year   = {2014}
}

Comments

20 pages. Quelques am\'eliorations et corrections

R2 v1 2026-06-22T00:24:29.899Z