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math.AC2002★ 1 cited
The regularity of points in multi-projective spaces
Huy Tai Ha, Adam Van Tuyl
Let I = p_1^{m_1} \cap ... \cap p_s^{m_s} be the defining ideal of a scheme of fat points in P^{n_1} x ... x P^{n_k} with support in generic position. When all the m_i's are 1, we…
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…