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  • @inproceedings{RISC4706,
    author = {Shaoshi Chen and Maximilian Jaroschek and Manuel Kauers and Michael F. Singer},
    title = {{Desingularization Explains Order-Degree Curves for Ore Operators}},
    booktitle = {{Proceedings of ISSAC'13}},
    language = {english},
    abstract = { 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 desingularization implies order-degree curves which are extremely accurate in examples. },
    pages = {157--164},
    isbn_issn = {isbn 978-1-4503-2059-7/13/06},
    year = {2013},
    editor = {Manuel Kauers},
    refereed = {yes},
    length = {8}
    }