Embeddings of Curves.
Ingrid Bauer (1995)
Manuscripta mathematica
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Displaying similar documents to “The Hilbert Function of curves on certain smooth quartic surfaces.”
Embeddings of Curves.
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Let S be a ruled surface in P3 with no multiple generators. Let d and q be nonnegative integers. In this paper we determine which pairs (d,q) correspond to the degree and irregularity of a ruled surface, by considering these surfaces as curves in a smooth quadric hypersurface in P5.
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Geometry of arithmetically Gorenstein curves in P.
Robin Hartshorne (2004)
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We characterize the postulation character of arithmetically Gorenstein curves in P. We give conditions under which the curve can be realized in the form mH - K on some ACM surface. Finally, we complement a theorem by Watanabe by showing that any general arithmetically Gorenstein curve in P with arbitrary fixed postulation character can be obtained from a line by a series of ascending complete-intersection biliaisons.
A Family of Abelian Surfaces and Curves of Genus Four.
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Unisecant curves on a general ruled surface.
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