Linearly normal curves in  and .

Păsărescu, Ovidiu

Displaying similar documents to “Linearly normal curves in $ℙ^{4}$ and $ℙ^{5}$ .”

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.

On the existence of k-normal curves of given degree and genus in projective spaces.

Edoardo Ballico, N. Chiarli, S. Greco (2004)

Collectanea Mathematica

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We find some ranges for the 4-tuples of integers (d,g,n,r) for which there is a smooth connected non-degenerate curve of degree d and genus g, which is k-normal for every k ≤ r.

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...

Geometry of arithmetically Gorenstein curves in P.

Robin Hartshorne (2004)

Collectanea Mathematica

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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.

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 $(d, g, n)$ ).

Curves of maximal genus in $ℙ^{5}$ .

Ferraro, R. (2003)

Advances in Geometry

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On surfaces with $p_{g} = q = 2$ and non-birational bicanonical maps.

Ciliberto, Ciro, Mendes Lopes, Margarida (2002)

Advances in Geometry

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Halphen's gaps for space curves of submaximum genus

Alberto Dolcetti (1988)

Bulletin de la Société Mathématique de France

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Displaying similar documents to “Linearly normal curves in ℙ 4 and ℙ 5 .”

Displaying similar documents to “Linearly normal curves in $ℙ^{4}$ and $ℙ^{5}$ .”