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arXiv · 1001.2607

Linear differential operators for generic algebraic curves

V. A. Krasikov·T. M. Sadykov
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Abstract

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.

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V. A. Krasikov, T. M. Sadykov. 2010-01-15. Linear differential operators for generic algebraic curves. https://arxiv.org/abs/1001.2607

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