On the Gauss maps of space curves in characteristic p

Hajime Kaji

Displaying similar documents to “On the Gauss maps of space curves in characteristic p”

On the Gauss maps of space curves in characteristic p, II

Hajime Kaji (1991)

Compositio Mathematica

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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 $4 d - g + 1 - 2 σ$ .

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

Edoardo Ballico, Luciana Ramella (1999)

Annales Polonici Mathematici

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We prove that for integers n,d,g such that n ≥ 4, g ≥ 2n and d ≥ 2g + 3n + 1, the general (smooth) curve C in $ℙ^{n}$ with degree d and genus g has a stable normal bundle $N_{C}$ .

Normal bundle to curves in quadrics

Edoardo Ballico (1981)

Bulletin de la Société Mathématique de France

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Gonality and Clifford index for real algebraic curves.

Edoardo Ballico (2002)

Collectanea Mathematica

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Let X be a smooth connected projective curve of genus g defined over R. Here we give bounds for the real gonality of X in terms of the complex gonality of X.

Ample vector bundles with zero loci having a bielliptic curve section.

Antonio Lanteri, Hidetoshi Maeda (2003)

Collectanea Mathematica

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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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Seshadri positive curves in a smooth projective $3$ -fold

Roberto Paoletti (1995)

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni

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A notion of positivity, called Seshadri ampleness, is introduced for a smooth curve $C$ in a polarized smooth projective $3$ -fold $(X, A)$ , whose motivation stems from some recent results concerning the gonality of space curves and the behaviour of stable bundles on $P^{3}$ under restriction to $C$ . This condition is stronger than the normality of the normal bundle and more general than $C$ being defined by a regular section of an ample rank- $2$ vector bundle. We then explore some of the properties of Seshadri-ample...