用于Macaulay2的MorseResolutions程序包
The MorseResolutions package for Macaulay2
AI总结：
本文介绍了Macaulay2程序包MorseResolutions，用于处理Lyubeznik和Barile-Macchia两类Morse消解，并支持搜索给定单项式理想的最小Barile-Macchia消解。
摘要：
利用离散Morse理论，Batzies和Welker引入了单项式理想的Morse消解。在本说明中，我们介绍Macaulay2程序包MorseResolutions，用于处理两类重要的Morse消解：Lyubeznik消解和Barile-Macchia消解。该程序包还包含用于搜索给定单项式理想的最小Barile-Macchia消解的程序。
英文摘要：
Using discrete Morse theory, Batzies and Welker introduced Morse resolutions of monomial ideals. In this note, we present the {\it Macaulay2} package {\tt MorseResolutions} for working with two important classes of Morse resolutions: Lyubeznik and Barile-Macchia resolutions. This package also contains procedures to search for a minimal Barile-Macchia resolution of a given monomial ideal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
