Linear differential operators for generic algebraic curves
Classical Analysis and ODEs
2010-01-18 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1001.2607,
title = {Linear differential operators for generic algebraic curves},
author = {V. A. Krasikov and T. M. Sadykov},
journal= {arXiv preprint arXiv:1001.2607},
year = {2010}
}