Displaying similar documents to “On the existence of k-normal curves of given degree and genus in projective spaces.”

The irregularity of ruled surfaces in three dimensional projective space.

Luis Giraldo, Ignacio Sols (1998)

Collectanea Mathematica

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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.

Some examples of Gorenstein liaison in codimension three.

Robin Hartshorne (2002)

Collectanea Mathematica

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Gorenstein liaison seems to be the natural notion to generalize to higher codimension the well-known results about liaison of varieties of codimension 2 in projective space. In this paper we study points in P3 and curves in P4 in an attempt to see how far typical codimension 2 results will extend. While the results are satisfactory for small degree, we find in each case examples where we cannot decide the outcome. This examples are candidates for counterexamples to the hoped-for extensions...

On the gonality of curves in 𝐏 n

Edoardo Ballico (1997)

Commentationes Mathematicae Universitatis Carolinae

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Here we study the gonality of several projective curves which arise in a natural way (e.gċurves with maximal genus in 𝐏 n , curves with given degree d and genus g for all possible d , g if n = 3 and with large g for arbitrary ( d , g , n ) ).