Problemi di estremalita', secondo Dubreil, per ideali perfetti di altezza 2

  • Carla Massaza


Si studia una famiglia di ideali perfetti, di altezza 2, estremali rispetto ad una diseguaglianza di Dubreil, caratterizzadone gli elementi attraverso proprietà della loro matrice dei gradi.


We study a family of perfect height 2 ideals, extremal with respect to a Dubreil's inequality; its elements are characterized by means of properties of their degree matrix.


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  1. [BM]Beccari-Massaza,Perfect homogeneous polynomial idsals of height two, with basis of maximal cardinality. Boll. U.M.I. (6) 5-D (1986) 201–223.Google Scholar
  2. [BDM 1]Beccari-Davis-Massaza,Extremality with respect to the estimates of Dubreil-Campanella: splitting theorems. J.P.P.A. (in press).Google Scholar
  3. [BDM 2]Beccari-Davis-Massaza,Extremality with respect to the estimates of Dubreil-Campanella: the Hilbert matrix. Rend. Sem. Mat. Univ. Pol. Torino (in press).Google Scholar
  4. [C]Campanella,Standard bases of perfect homogeneous polynomial ideals of height 2. J. Alg. 101 (1986) 47–60.zbMATHCrossRefMathSciNetGoogle Scholar
  5. [CGO]Ciliberto-Geramita-Orecchia,Perfect varieties with defining equations of high degree. Bol. U.M.I. (7) 1-B (1987) 631–656.Google Scholar
  6. [DGM]Davis-Geramita-Maroscia,Perject homogeneous ideals: Dubreil theorems revisited. Bull. Sci. Math. 108 (1984) 143–185.MathSciNetGoogle Scholar
  7. [DGO]Davis-Geramita-Orecchia,Gorenstein algebras and the Caley-Bacharah theorem. PAMS 93 (1985) 593–597.CrossRefGoogle Scholar
  8. [D]Davis,Complements to a paper of P. Dubreil. Ric. Mat. (in press).Google Scholar
  9. [D 1]Davis,Complete intersections of codimension 2 in P r etc., Rend. Sem. Mat. Torino 43 (1985) 333–353.zbMATHGoogle Scholar
  10. [D 2]Davis,O-dimensional subschemes of P 2:new applications of Castelnuovo's function. Ann. Univ. Ferrara 32 (1986) 93–107.zbMATHGoogle Scholar
  11. [Du]Dubreil,Sur quelques propriétés des systèmes de points dans le plan et des courbes gauches algébriques. Bull. Soc. Math. France 61 (1933) 258–283.zbMATHMathSciNetGoogle Scholar
  12. [E]Eisenbud,Some directions in recent progress in commutative algebra (Arcata 1974). Proc. Symp. Pure Math, 29 (1975) 111–128.MathSciNetGoogle Scholar
  13. [PS]Peskine-Szpiro,Liaison des variétés algèbriques I. Inv. Math. 26 (1974) 271–302.CrossRefGoogle Scholar

Copyright information

© Birkhäuser-Verlag 1989

Authors and Affiliations

  • Carla Massaza
    • 1
  1. 1.Politecnico di TorinoTorinoItalia

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