𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Generic Cohen-Macaulay Monomial Ideals

✍ Scribed by Abdul Salam Jarrah; Reinhard Laubenbacher

Book ID
105764649
Publisher
Springer
Year
2004
Tongue
English
Weight
245 KB
Volume
8
Category
Article
ISSN
0218-0006

No coin nor oath required. For personal study only.

📜 SIMILAR VOLUMES

Linkage by Generically Gorenstein, Cohen
Linkage by Generically Gorenstein, Cohen–Macaulay Ideals
✍ Heath M. Martin 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 312 KB

In this paper, we study linkage by a wider class of ideals than the complete intersections. We are most interested in how the Cohen᎐Macaulay property behaves along this more general notion of linkage. In particular, if ideals A and B are linked by a generically Gorenstein Cohen᎐Macaulay ideal I, and

Generic and Cogeneric Monomial Ideals
Generic and Cogeneric Monomial Ideals
✍ Ezra Miller; Bernd Sturmfels; Kohji Yanagawa 📂 Article 📅 2000 🏛 Elsevier Science 🌐 English ⚖ 346 KB

Monomial ideals which are generic with respect to either their generators or irreducible components have minimal free resolutions encoded by simplicial complexes. There are numerous equivalent ways to say that a monomial ideal is generic or cogeneric. For a generic monomial ideal, the associated pri

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