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Postulation of Adjoint Ideals and Geometry of Projective Curves

In: Algebra, Arithmetic and Geometry with Applications

Author

Listed:
  • Nadia Chiarli
  • Silvio Greco
  • Roberto Notari

Abstract

Let C be a smooth integral curve in projective n-space, let Γ be a plane projection of C of the same degree and consider the closed subscheme Z⊆ Γ corresponding to the conductor. We study the relations between the postulation of Z and the geometry of C. We show that the Hilbert function of Z is of decreasing type and enjoys the Cayley-Bacharach property and we characterize some classes of curves in terms of Z and of its pull-back to C.

Suggested Citation

  • Nadia Chiarli & Silvio Greco & Roberto Notari, 2004. "Postulation of Adjoint Ideals and Geometry of Projective Curves," Springer Books, in: Chris Christensen & Avinash Sathaye & Ganesh Sundaram & Chandrajit Bajaj (ed.), Algebra, Arithmetic and Geometry with Applications, pages 235-257, Springer.
  • Handle: RePEc:spr:sprchp:978-3-642-18487-1_13
    DOI: 10.1007/978-3-642-18487-1_13
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