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The number of faces of balanced Cohen-Macaulay complexes and a generalized Macaulay theorem

✍ Scribed by Anders Björner; Richard Stanley; Peter Frankl

Book ID
110564246
Publisher
Springer-Verlag
Year
1987
Tongue
English
Weight
649 KB
Volume
7
Category
Article
ISSN
0209-9683

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📜 SIMILAR VOLUMES

Number of generators of a Cohen–Macaulay
Number of generators of a Cohen–Macaulay ideal
✍ Hans Schoutens 📂 Article 📅 2003 🏛 Elsevier Science 🌐 English ⚖ 88 KB

For a Noetherian local ring R, if R/a is Cohen-Macaulay, then the ideal a can be generated by at most (e -2)(νd -1) + 2 elements, where ν is the embedding dimension of R and where d and e 3 are the dimension and the multiplicity of R/a, respectively. This bound is in general much sharper than the bo