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math.AC2004
Powers of complete intersections: graded Betti numbers and applications
Elena Guardo, Adam Van Tuyl
Let I = (F_1,...,F_r) be a homogeneous ideal of R = k[x_0,...,x_n] generated by a regular sequence of type (d_1,...,d_r). We give an elementary proof for an explicit description of…
math.AC2002
Fat Points in P^1 x P^1 and their Hilbert Functions
Elena Guardo, Adam Van Tuyl
We study the Hilbert functions of fat points in P^1 x P^1. If Z is an arbitrary fat point subscheme of P^1 x P^1, then it can be shown that for every i and j the values of the Hilb…