@

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}