Betti numbers and degree bounds for some linked zero-schemes

  title={Betti numbers and degree bounds for some linked zero-schemes},
  author={Leah H. Gold and H. Schenck and Hema Srinivasan},
  • Leah H. Gold, H. Schenck, Hema Srinivasan
  • Published 2005
  • Mathematics
  • 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