@**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}

}