Postulation of Adjoint Ideals and Geometry of Projective Curves

Nadia Chiarli, Silvio Greco and Roberto Notari

A chapter in Algebra, Arithmetic and Geometry with Applications, 2004, pp 235-257 from Springer

Abstract: 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.

Keywords: Complete Intersection; General Projection; Hilbert Function; Linear Series; Closed Subscheme (search for similar items in EconPapers)
Date: 2004
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-18487-1_13

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DOI: 10.1007/978-3-642-18487-1_13

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