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Details for article 13 of 23 found articles
| Title: |
Minimal Betti Numbers |
| Author: |
Dodd, Christopher Marks, Andrew Meyerson, Victor Richert, Ben |
| Appeared in: |
Communications in algebra |
| Paging: | Volume 35 (2007) nr. 3 pages 759-772 |
| Year: |
2007-03 |
| Contents: |
We give conditions for determining the extremal behavior for the (graded) Betti numbers of squarefree monomial ideals. For the case of non-unique minima, we give several conditions which we use to produce infinite families, exponentially growing with dimension, of Hilbert functions which have no smallest (graded) Betti numbers among squarefree monomial ideals and all ideals. For the case of unique minima, we give two families of Hilbert functions, one with exponential and one with linear growth as dimension grows, that have unique minimal Betti numbers among squarefree monomial ideals. |
| Publisher: |
Taylor & Francis |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 13 of 23 found articles
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