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Displaying similar documents to “Hecke curves and Hitchin discriminant”

Are rational curves determined by tangent vectors?

Stefan Kebekus, Sándor J. Kovács (2004)

Annales de l’institut Fourier

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Let X be a projective variety which is covered by rational curves, for instance a Fano manifold over the complex numbers. In this paper, we give sufficient conditions which guarantee that every tangent vector at a general point of X is contained in at most one rational curve of minimal degree. As an immediate application, we obtain irreducibility criteria for the space of minimal rational curves.

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...