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Monomial Ideals

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Cover of 'Monomial Ideals'

Table of Contents

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    Book Overview
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    Chapter 1 Monomial Ideals
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    Chapter 2 A short introduction to Gröbner bases
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    Chapter 3 Monomial orders and weights
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    Chapter 4 Generic initial ideals
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    Chapter 5 The exterior algebra
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    Chapter 6 Hilbert functions and the theorems of Macaulay and Kruskal–Katona
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    Chapter 7 Resolutions of monomial ideals and the Eliahou–Kervaire formula
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    Chapter 8 Alexander duality and resolutions
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    Chapter 9 Alexander duality and finite graphs
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    Chapter 10 Powers of monomial ideals
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    Chapter 11 Shifting theory
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    Chapter 12 Discrete Polymatroids
Attention for Chapter 1: Monomial Ideals
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