Monomial Ideals, Computations and Applications

• Corporate Author: SpringerLink (Online service)
• Other Authors: Bigatti, Anna M. (Editor), Gimenez, Philippe (Editor), Sáenz-de-Cabezón, Eduardo (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013.
• Series: Lecture Notes in Mathematics, 2083
• Subjects: Mathematics.; Algebra.

This work covers three important aspects of monomials ideals in the three chapters "Stanley decompositions" by Jürgen Herzog, "Edge ideals" by Adam Van Tuyl and "Local cohomology" by Josep Álvarez Montaner. The chapters, written by top experts, include computer tutorial...

Table of Contents:

• A survey on Stanley depth
• Stanley decompositions using CoCoA
• A beginner’s guide to edge and cover ideals
• Edge ideals using Macaulay2
• Local cohomology modules supported on monomial ideals
• Local Cohomology using Macaulay2.