%0 Journal Article %T Linear differential operators for generic algebraic curves %A V. A. Krasikov %A T. M. Sadykov %J Mathematics %D 2010 %I arXiv %X We give a computationally efficient method for constructing the linear differential operator with polynomial coefficients whose space of holomorphic solutions is spanned by all the branches of a function defined by a generic algebraic curve. The proposed method does not require solving the algebraic equation and can be applied in the case when its Galois group is not solvable. %U http://arxiv.org/abs/1001.2607v1