Betti Numbers and Degree Bounds for Some Linked Zero-schemes

@inproceedings{Gold2004BettiNA,
title={Betti Numbers and Degree Bounds for Some Linked Zero-schemes},
author={Leah H. Gold and Hal Schenck and Hema Srinivasan},
year={2004}
}

In [8], Herzog and Srinivasan study the relationship between the graded Betti numbers of a homogeneous ideal I in a polynomial ring R and the degree of I. For certain classes of ideals, they prove a bound on the degree in terms of the largest and smallest Betti numbers, generalizing results of Huneke and Miller in [9]. The bound is conjectured to hold in general; we study this using linkage. If R/I is Cohen-Macaulay, we may reduce to the case where I defines a zero-dimensional subscheme Y. If Y… CONTINUE READING

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