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Desingularization is the problem of finding a left multiple of a given Ore operator in which some factor of the leading coefficient of the original operator is removed. An order-degree curve for a given Ore operator is a curve in the (r, d)-plane such that for all points (r, d) above this curve, there exists a left multiple of order r and degree d of the given operator. We give a new proof of a desingularization result by Abramov and van Hoeij for the shift case, and show how desingularizationdoi:10.1145/2465506.2465510 dblp:conf/issac/ChenJKS13 fatcat:suyvawtpd5hifmglcldjsywqcy