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arxiv: 1305.6778 · v2 · pith:NKF5AZ6Vnew · submitted 2013-05-29 · 🧮 math.AG · math.CV

Algebraic differential equations associated to some polynomials

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

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