Abstract
Chapter 8 begins with Hochster’s formula to compute the graded Betti numbers of Stanley–Reisner ideals and Reisner’s Cohen–Macaulay criterion for simplicial complexes. Then the Eagon–Reiner theorem and variations of it are discussed. In particular, ideals with linear quotients, componentwise linear ideals, sequentially Cohen–Macaulay ideals and shellable simplicial complexes are studied.
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© 2011 Springer-Verlag London Limited
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Herzog, J., Hibi, T. (2011). Alexander duality and resolutions. In: Monomial Ideals., vol 260. Springer, London. https://doi.org/10.1007/978-0-85729-106-6_8
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DOI: https://doi.org/10.1007/978-0-85729-106-6_8
Publisher Name: Springer, London
Print ISBN: 978-0-85729-105-9
Online ISBN: 978-0-85729-106-6
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