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Rigid resolutions and big Betti numbers

✍ Scribed by Aldo Conca; Jürgen Herzog; Takayuki Hibi


Book ID
113013951
Publisher
European Mathematical Society
Year
2004
Tongue
English
Weight
182 KB
Volume
79
Category
Article
ISSN
0010-2571

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Multigraded Betti numbers without comput
✍ Eduardo Sáenz-de-Cabezón 📂 Article 📅 2009 🏛 Springer 🌐 English ⚖ 216 KB

We use Mayer-Vietoris trees to obtain the multigraded Betti numbers of monomial ideals without computing their minimal free resolutions. This method provides not only a competitive algorithm for such computations but also a new tool for the analysis of the homological structure of monomial ideals. U