On the gonality of curves in $\mathbf {P}^n$

Edoardo Ballico

Displaying similar documents to “On the gonality of curves in $𝐏^{n}$ ”

Codimension 1 subvarieties $ℳ_{g}$ and real gonality of real curves

Edoardo Ballico (2003)

Czechoslovak Mathematical Journal

Similarity:

Let $ℳ_{g}$ be the moduli space of smooth complex projective curves of genus $g$ . Here we prove that the subset of $ℳ_{g}$ formed by all curves for which some Brill-Noether locus has dimension larger than the expected one has codimension at least two in $ℳ_{g}$ . As an application we show that if $X \in ℳ_{g}$ is defined over $ℝ$ , then there exists a low degree pencil $u X \to ℙ^{1}$ defined over $ℝ$ .

Some examples of Gorenstein liaison in codimension three.

Robin Hartshorne (2002)

Collectanea Mathematica

Similarity:

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

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

Collectanea Mathematica

Similarity:

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.

On a class of partial $t$ -spreads of $P G (n, q)$ arising from scrolls.

Ballico, E., Cossidente, A. (2000)

Mathematica Pannonica

Similarity:

Postulation and gonality for projective curves

Edoardo Ballico (1988)

Rendiconti del Seminario Matematico della Università di Padova

Similarity:

Linearly normal curves in $ℙ^{4}$ and $ℙ^{5}$ .

Păsărescu, Ovidiu (2001)

Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică

Similarity:

Halphen's gaps for space curves of submaximum genus

Alberto Dolcetti (1988)

Bulletin de la Société Mathématique de France

Similarity:

The irregularity of ruled surfaces in three dimensional projective space.

Luis Giraldo, Ignacio Sols (1998)

Collectanea Mathematica

Similarity:

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.

Displaying similar documents to “On the gonality of curves in 𝐏 n ”

Displaying similar documents to “On the gonality of curves in $𝐏^{n}$ ”