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References
Arbarello, E., Sernesi, E.: Petri's approach to the study of the ideal associated to a special divisor. Invent. Math.49, 99–119 (1978)
Brun, J.: Les fibrés de rang deux sur ℙ2 et leurs sections. Bull. Soc. math. France107, 457–473 (1979)
Bresinsky, H., Schenzel, P., Vogel, W.: On liaison, arithmetical Buchsbaum curves and monomial curves in ℙ3. J. Algebra 86, 283–301 (1984
Davis, E., Geramita, A.V., Maroscia, P.: Perfect homogeneous ideals: Dubreil's theorems revisited. Bull. Sci. Math. (in press)
Geramita, A.V., Maroscia, P.: The ideal of forms vanishing at a finite set of points in ℙn. J. Algebra (in press)
Geramita, A.V., Orecchia, F.: Minimally generating ideals defining certain tangent cones. J. Algebra78, 36–57 (1982)
Griffiths, P., Harris, J.: Residues and zero-cycles on algebraic varieties. Ann. Math.108, 461–505 (1978)
Griffiths, P., Harris, J.: Principles of algebraic geometry, New York: Wiley 1978
Gruson, L., Lazarsfeld, R., Peskine, C.: On a theorem of Castelnuovo, and the equations defining space curves. Invent. Math.72, 491–506 (1983)
Harris, J.: The genus of space curves. Math. Ann.249, 191–204 (1980)
Harris, J.: Curves in projective space. Montreal: Les Presses de l'Université de Montréal 1982
Maroscia, P.: Some problems and results on finite sets of points in ℙn. In: Algebraic geometry open problems. Proc. Conf. ravello Italy 1982. Lecture Notes in Mathematics, Vol. 997, pp. 290–314. Berlin, Heidelberg, New York: Springer 1983
Ooishi, A.: Castelnuovo's regularity of graded rings and modules. Hiroshima Math. J.12, 627 644 (1982)
Peskine, C., Szpiro, L.: Liaison des variétés algébriques. I. Invent. Math.26, 271–302 (1974)
Petri, K.: Über die invariante Darstellung algebraischer Funktionen einer Veränderlichen, Math. Ann.88, 242–289 (1922)
Saint-Donat, B.: Sur les équations définissant une courbe algébrique. C.R. Acad. Sci. Paris. Série A274, 324–327 (1972)
Saint-Donat, B.: On Petri's analysis of the linear system of quadrics through a canonical curve. Math. Ann.206, 157–175 (1973)
Serre, J.P.: Groupes algébriques et corps de classes Publication de l'Université de Nancago. Paris: Hermann 1959
Treger, R.: On equations defining arithmetically Cohen-Macaulay schemes. I. Math. Ann.261, 141–153 (1982)
Treger, R.: On equations defining arithmetically Cohen-Macaulay schemes. II. Duke Math. J.48, 35–47 (1981)
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Supported by Consiglio Nazionale delle Ricerche. This author would like to thank the Mathematics Department of the University of Rome “La Sapienza” for their kind hospitality during the preparation of this work
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Maroscia, P., Vogel, W. On the defining equations of points in general position in ℙn . Math. Ann. 269, 183–189 (1984). https://doi.org/10.1007/BF01451418
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DOI: https://doi.org/10.1007/BF01451418