Betti numbers of almost complete intersections

Daniel Dugger

doi:10.1215/ijm/1256060413

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Home > Journals > Illinois J. Math. > Volume 44 > Issue 3 > Article

Fall 2000 Betti numbers of almost complete intersections

Daniel Dugger

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Daniel Dugger¹
¹Department of Mathematics, Purdue University, West Lafayette, IN 47907

Illinois J. Math. 44(3): 531-541 (Fall 2000). DOI: 10.1215/ijm/1256060413

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Abstract

We investigate the minimal free resolutions of cyclic modules $R/I$, where $I$ is an almost complete intersection in the local ring $R$. Our results concern various binomial lower bounds for the Betti numbers of the resolution. For example, we show that the sum of the Betti numbers is at least $2^{d}$ where $d$ is the dimension of $R$.

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Daniel Dugger. "Betti numbers of almost complete intersections." Illinois J. Math. 44 (3) 531 - 541, Fall 2000. https://doi.org/10.1215/ijm/1256060413