Non-special projectively normal line bundles on general k-gonal curves

E. Ballico

Displaying similar documents to “Non-special projectively normal line bundles on general k-gonal curves”

Vector bundles on plane cubic curves and the classical Yang–Baxter equation

Igor Burban, Thilo Henrich (2015)

Journal of the European Mathematical Society

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In this article, we develop a geometric method to construct solutions of the classical Yang–Baxter equation, attaching a family of classical $r$ -matrices to the Weierstrass family of plane cubic curves and a pair of coprime positive integers. It turns out that all elliptic $r$ -matrices arise in this way from smooth cubic curves. For the cuspidal cubic curve, we prove that the obtained solutions are rational and compute them explicitly. We also describe them in terms of Stolin’s classication...

Quivers, vector bundles and coverings of smooth curves.

Ballico, E. (2005)

Lobachevskii Journal of Mathematics

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Normal generation and presentation of line bundles of low degree on curves.

G. Martens, H. Lange (1985)

Journal für die reine und angewandte Mathematik

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

Edoardo Ballico (2003)

Czechoslovak Mathematical Journal

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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 $ℝ$ .

About $G$ -bundles over elliptic curves

Yves Laszlo (1998)

Annales de l'institut Fourier

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Let $G$ be a complex algebraic group, simple and simply connected, $T$ a maximal torus and $W$ the Weyl group. One shows that the coarse moduli space $M_{G} (X)$ parametrizing $S$ -equivalence classes of semistable $G$ -bundles over an elliptic curve $X$ is isomorphic to $[Γ (T) \otimes_{Z} X] / W$ . By a result of Looijenga, this shows that $M_{G} (X)$ is a weighted projective space.

Special line bundles on curves with involution.

Vassil Kanev (1996)

Mathematische Zeitschrift

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General stable bundles arising as normal bundles of projective curves.

Edoardo Ballico, Luciana Ramella (1999)

Revista Matemática Complutense

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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 $(d, g, n)$ ).

A criterion for virtual global generation

Indranil Biswas, A. J. Parameswaran (2006)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Let $X$ be a smooth projective curve defined over an algebraically closed field $k$ , and let $F_{X}$ denote the absolute Frobenius morphism of $X$ when the characteristic of $k$ is positive. A vector bundle over $X$ is called virtually globally generated if its pull back, by some finite morphism to $X$ from some smooth projective curve, is generated by its global sections. We prove the following. If the characteristic of $k$ is positive, a vector bundle $E$ over $X$ is virtually globally generated if and only...