Monomial Ideals

Jürgen Herzog () and Takayuki Hibi ()
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Jürgen Herzog: Universität Duisburg-Essen Fachbereich Mathematik, Fachbereich Mathematik
Takayuki Hibi: Osaka University Graduate School of Inf. Science & Techn., Department of Pure & Applied Mathematics

in Springer Books from Springer

Date: 2011
ISBN: 978-0-85729-106-6
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Chapters in this book:

Ch 1 Monomial Ideals

Jürgen Herzog and Takayuki Hibi

Ch 2 A short introduction to Gröbner bases

Jürgen Herzog and Takayuki Hibi

Ch 3 Monomial orders and weights

Jürgen Herzog and Takayuki Hibi

Ch 4 Generic initial ideals

Jürgen Herzog and Takayuki Hibi

Ch 5 The exterior algebra

Jürgen Herzog and Takayuki Hibi

Ch 6 Hilbert functions and the theorems of Macaulay and Kruskal–Katona

Jürgen Herzog and Takayuki Hibi

Ch 7 Resolutions of monomial ideals and the Eliahou–Kervaire formula

Jürgen Herzog and Takayuki Hibi

Ch 8 Alexander duality and resolutions

Jürgen Herzog and Takayuki Hibi

Ch 9 Alexander duality and finite graphs

Jürgen Herzog and Takayuki Hibi

Ch 10 Powers of monomial ideals

Jürgen Herzog and Takayuki Hibi

Ch 11 Shifting theory

Jürgen Herzog and Takayuki Hibi

Ch 12 Discrete Polymatroids

Jürgen Herzog and Takayuki Hibi

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DOI: 10.1007/978-0-85729-106-6

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