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References
R.D.M. Accola, On Castelnuovo's inequality for algebraic curves, I, Trans. Amer. Math. Soc. 251 (1979), 357–373.
E. Arbarello and E. Sernesi, Petri's approach to the study of the ideal associated to a special divisor, Inventiones math. 49 (1978), 99–119.
P. Dubreil, Sur quelques propriétés des systèmes de points dans le plan et des courbes gauches algébriques, Bull. Soc. Math. France 61 (1933), 258–283.
E.D. Davis, A.V. Geramita and P. Maroscia, Perfect homogeneous ideals of height 2 in polynomial rings: Dubreil's theorems revisited, I, (to appear).
A.V. Geramita, Remarks on the number of generators of some homogeneous ideals, Bull. Soc. Math. France (to appear).
P. Griffiths and J. Harris, Principles of algebraic geometry, Wiley, New York, 1978.
—, Residues and zero-cycles on algebraic varieties, Annals of Math. 108 (1978), 461–505.
C. Greene and D.J. Kleitman, Proof techniques in the theory of finite sets, Studies in Mathematics, Vol. 17, Mathematical Association of America, 1978, 22–79.
A.V. Geramita and P. Maroscia, The ideal of forms vanishing at a finite set of points in ℝn, C.R. Math. Rep. Acad. Sci. Canada 4 (1982), 179–184.
—, The ideal of forms vanishing at a finite set of points in ℝn, Queen's University Mathematical Preprint No. 1981–5.
A.V. Geramita, P. Maroscia and L.G. Roberts, The Hilbert function of a reduced K-algebra, Queen's Papers in Pure and Applied Mathematics, No. 61, Kingston, Ontario, 1982, pp. C1–C63.
A.V. Geramita and F. Orecchia, On the Cohen-Macaulay type of s-lines in An+1, J. Algebra 70 (1981), 116–140.
—, Minimally generating ideals defining certain tangent cones, J. Algebra 78 (1982), 36–57.
J. Harris, The genus of space curves, Math. Ann. 249 (1980), 191–204.
—, A bound on the geometric genus of projective varieties, Ann. Scuola Norm. Sup. Pisa 8 (1981), 35–68.
F.S. Macaulay, Some properties of enumeration in the theory of modular systems, Proc. London Math. Soc. 26 (1927), 531–555.
P. Maroscia, The Hilbert function of a finite set of points in ℙn, Queen's University Mathematical Preprint No. 1982-14.
L.G. Roberts, The Hilbert function of some reduced graded k-algebras, Queen's University Mathematical Preprint No. 1982-15.
B. Segre, Sui teoremi di Bézout, Jacobi e Reiss, Ann. Mat. Pura Appl. (4) 26 (1947), 1–26.
J.G. Semple and L. Roth, Introduction to algebraic geometry, Clarendon Press, Oxford, 1949.
E. Sernesi, On the problem of uniqueness for certain linear series (talk given at the Conference).
R.P. Stanley, Hilbert functions of graded algebras, Advances in Math. 28 (1978), 57–82.
B. Teissier, Variétés toriques et polytopes, Sém. Bourbaki 1980/81, Lecture Notes in Mathematics, Vol. 901, Springer, Berlin 1981, 71–84.
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Maroscia, P. (1983). Some problems and results on finite sets of points in ℙn . In: Ciliberto, C., Ghione, F., Orecchia, F. (eds) Algebraic Geometry — Open Problems. Lecture Notes in Mathematics, vol 997. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0061649
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DOI: https://doi.org/10.1007/BFb0061649
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