On the existence of curves in $ℙ^n$ with stable normal bundle

Edoardo Ballico; Luciana Ramella

Displaying similar documents to “On the existence of curves in $ℙ^{n}$ with stable normal bundle”

On The Brill-noether Theory of Spanned Vector Bundles on Smooth Curves

Ballico, E. (1999)

Serdica Mathematical Journal

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Here we study the integers (d, g, r) such that on a smooth projective curve of genus g there exists a rank r stable vector bundle with degree d and spanned by its global sections.

General stable bundles arising as normal bundles of projective curves.

Edoardo Ballico, Luciana Ramella (1999)

Revista Matemática Complutense

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On the Gauss maps of space curves in characteristic p

Hajime Kaji (1989)

Compositio Mathematica

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On curves and jets of curves on supermanifolds

Andrew James Bruce (2014)

Archivum Mathematicum

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In this paper we examine a natural concept of a curve on a supermanifold and the subsequent notion of the jet of a curve. We then tackle the question of geometrically defining the higher order tangent bundles of a supermanifold. Finally we make a quick comparison with the notion of a curve presented here are other common notions found in the literature.

Smoothing of rational m-ropes

Edoardo Ballico, Elizabeth Gasparim, Thomas Köppe (2009)

Open Mathematics

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In a recent paper, Gallego, González and Purnaprajna showed that rational 3-ropes can be smoothed. We generalise their proof, and obtain smoothability of rational m-ropes for m ≥ 3.

Strata of smooth space curves having unstable normal bundle

Luciana Ramella (1999)

Bollettino dell'Unione Matematica Italiana

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Per $d ≫ g$ , vengono trovate curve liscie in $P^{3}$ di grado $d$ e genere $g$ aventi fibrato normale instabile con grado di instabilità $σ$ , per ogni $1 \leq σ \leq d - 4$ . Inoltre per $4 g - 2 \leq σ \leq d - 4$ , viene trovata una famiglia di curve in $P^{3}$ di grado $d$ e genere $g$ avente fibrato normale instabile con grado di instabilità $σ$ e formante uno strato dello schema di Hilbert della giusta dimensione che è $4 d - g + 1 - 2 σ$ .

Hecke curves and Hitchin discriminant

Jun-Muk Hwang, S. Ramanan (2004)

Annales scientifiques de l'École Normale Supérieure

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Displaying similar documents to “On the existence of curves in ℙ n with stable normal bundle”

On The Brill-noether Theory of Spanned Vector Bundles on Smooth Curves

General stable bundles arising as normal bundles of projective curves.

On the Gauss maps of space curves in characteristic p

On curves and jets of curves on supermanifolds

Smoothing of rational m-ropes

Strata of smooth space curves having unstable normal bundle

Hecke curves and Hitchin discriminant

Displaying similar documents to “On the existence of curves in $ℙ^{n}$ with stable normal bundle”