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Algebraic differential equations associated to some polynomials
Published 29 May 2013 in math.AG and math.CV | (1305.6778v2)
Abstract: 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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