Componentwise linear ideals were introduced earlier to generalize the result that the Stanley Reisner ideal I 2 of a simplicial complex 2 has a linear resolution if and only if its Alexander dual 2\* is Cohen Macaulay. It turns out that I 2 is componentwise linear if and only if 2\* is sequentially
β¦ LIBER β¦
Betti numbers of mixed product ideals
β Scribed by Giancarlo Rinaldo
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 158 KB
- Volume
- 91
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
Ideals with Stable Betti Numbers
β
Annetta Aramova; JΓΌrgen Herzog; Takayuki Hibi
π
Article
π
2000
π
Elsevier Science
π
English
β 91 KB
Betti numbers of lex-segment ideals
β
Heather Hulett; Heath M. Martin
π
Article
π
2004
π
Elsevier Science
π
English
β 200 KB
Extremal Betti Numbers and Applications
β
Dave Bayer; Hara Charalambous; Sorin Popescu
π
Article
π
1999
π
Elsevier Science
π
English
β 163 KB
Let S = k x 1 x n be the polynomial ring in n variables over a field k, let M be a graded S-module, and let be a minimal free resolution of M over S. As usual, we define the associated (graded) Betti numbers Ξ² i j = Ξ² i j M by the formula \* The first and third authors are grateful to the NSF for
Sequences of Betti numbers
β
Mark Ramras
π
Article
π
1980
π
Elsevier Science
π
English
β 575 KB
Exponential growth of Betti numbers
β
Sangki Choi
π
Article
π
1992
π
Elsevier Science
π
English
β 488 KB
Betti numbers of multigraded modules
β
Hara Charalambous
π
Article
π
1991
π
Elsevier Science
π
English
β 509 KB