31
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

SHARP UPPER BOUND FOR THE REGULARITY OF ZERO-SCHEMES OF DOUBLE POINTS IN

Pages 5825-5847 | Received 01 Jun 2001, Published online: 31 Aug 2006

REFERENCES

  • Alexander , J. 1988 . Singularite´s Imposables en Position Ge´ne´rale a` une Hypersurface Projective . Compositio Math. , 68 : 305 – 354 .
  • Alexander , J. and Hirschowitz , A. 1992 . La Me´thode d'Horace E´clate´e: Application a` I'interpolation en Degre´ Quatre . Invent. Math. , 107 : 585 – 602 .
  • Catalisano , M.V. 1991 . Linear Systems of Plane Curves Through Fixed Fat Points of . J. Algebra , 142 : 81 – 100 .
  • Catalisano , M.V. 1991 . Fat Points on a Conic . Comm. Algebra , 19 : 2153 – 2168 .
  • Catalisano , M.V. , Trung , N.V. and Valla , G. 1993 . A Sharp Bound for the Regularity Index of Fat Points in General Position . Proc. Amer. Math. Soc. , 118 : 717 – 724 .
  • Davis , E.D. and Geramita , A.V. 1984 . The Hilbert Function of a Special Class of 1-dimensional Cohen-Macaulay Graded Algebras, the Curves Seminar at Queen's . Queen's Papers in Pure and Appl. Math. , 67 : 1 – 29 .
  • Eisenbud , D. 1995 . Commutative Algebra with a View Toward Algebraic Geometry New York : Springer-Verlag . Chap. 20
  • Fatabbi , G. 1994 . Regularity Index of Fat Points in the Projective Plane . J. Algebra , 170 : 916 – 928 .
  • Fulton , W. 1969 . Algebraic Curves Benjamin . Math. Lect. Note Series:
  • Gimigliano , A. 1989 . Regularity of Linear Systems of Plane Curves . J. Algebra , 124 : 447 – 460 .
  • Gimigliano , A. 1989 . Our Thin Knowledge on Fat Points; The Curve's Seminar at Queen's VI . Queen's Papers in Pure and Appl. Math. , 83 : 1B – 50B .
  • Greco , S. 1989 . Remarks on the Postulation of Zero-dimensional Subschemes of Projective Spaces . Math. Ann. , 284 : 342 – 351 .
  • Hirschowitz , A. 1985 . La Me´thode d'Horace pour l'Interpolation a` Plusieurs Variables, Manus . Math. , 50 : 337 – 388 .
  • Iarrobino , A. 1995 . The Inverse System of a Symbolic Power, II: The Waring Problem for Forms . J. Algebra , 174 : 1091 – 1110 .
  • Paxia , G. 1991 . On Flat Families of Fat Points . Proc. Amer. Math. Soc. , 112 : 19 – 23 .
  • Segre , B. 1961 . Alcune Questioni su Insiemi Finiti di Punti in Geometria Algebrica . Atti. Convergno. Intern. di Torino , : 15 – 33 .
  • Trung , N.V. 1994 . An Algebraic Approach to the Regularity Index of Fat Points in . Kodai Math. J. , 17 : 382 – 389 .
  • Trung , N.V. and Valla , G. 1995 . Upper Bounds for the Regularity Index of Fat Points with Uniform Position Property . J. Algebra , 176 : 182 – 209 .
  • Phan , Van Thien . 1999 . On Segre Bound for the Regularity Index of Fat Points in . Acta Math. Vietnamica , 24 : 75 – 81 .
  • Phan , Van Thien . 2000 . Segre Bound for the Regularity Index of Fat Points in . J. Pure and Appl. Algebra , 151 : 197 – 214 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.