Linear differential operators for generic algebraic curves

Details Linear differential operators for generic algebraic curves Linear differential operators for generic algebraic curves

2010-01-15

arxiv.org/abs/1001.2607v1

Mathematics

Classical Analysis and ODEs

Scientific paper

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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