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1Queen’s University,
Department of Mathematics, Kingston, Ontario, Canada,
and Universit`a degli Studi
di Genova, Dipartimento di Matematica,Genova, Italia
2Tulane University, Department of Mathematics, 6823 St. Charles Ave.,
New Orleans, LA 70118, USA
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Abstract. We study the question of
whether there is a minimum Hilbert function for double point schemes whose
support is s points with generic
Hilbert function. Previous work shows that this question has an affirmative
answer for  and for  (for any  N). In this paper, we provide evidence in the case  , and give an affirmative answer to the question when s =
11.
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