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2 results

  • The Connectedness of Space Curve Invariants

  • MICHELE COOK
  • Journal:
    Compositio Mathematica / Volume 111 / Issue 2 / April 1998
    Published online by Cambridge University Press:
    04 December 2007, pp. 221-244
    Print publication:
    April 1998
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  • In this paper we will give necessary conditions for a Borel-fixed monomial ideal to be the generic initial ideal of a reduced, irreducible, non-degenerate curve in $P^3$.

  • A smooth surface in $P^4$ not of general type has degree at most 66

  • R. BRAUN, M. COOK
  • Journal:
    Compositio Mathematica / Volume 107 / Issue 1 / May 1997
    Published online by Cambridge University Press:
    04 December 2007, pp. 1-9
    Print publication:
    May 1997
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  • We use geometric information obtained from the generic initial ideal of a hyperplane section of a surface in ${\bb P}^4$ not of general type to bound the degree of such a surface.