Divisor classes associated to families of stable varieties, with applications to the moduli space of curves
Maurizio Cornalba, Joe Harris (1988)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Maurizio Cornalba, Joe Harris (1988)
Annales scientifiques de l'École Normale Supérieure
Similarity:
A. Hirschowitz, S. Ramanan (1998)
Annales scientifiques de l'École Normale Supérieure
Similarity:
Stefan Kebekus, Sándor J. Kovács (2004)
Annales de l’institut Fourier
Similarity:
Let 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 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.
Edoardo Ballico, Luciana Ramella (1999)
Revista Matemática Complutense
Similarity:
L. Brambila-Paz, E. Gómez-González, F. Pioli (2001)
Collectanea Mathematica
Similarity:
Roberto Paoletti (1995)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
Similarity:
A notion of positivity, called Seshadri ampleness, is introduced for a smooth curve in a polarized smooth projective -fold , whose motivation stems from some recent results concerning the gonality of space curves and the behaviour of stable bundles on under restriction to . This condition is stronger than the normality of the normal bundle and more general than being defined by a regular section of an ample rank- vector bundle. We then explore some of the properties of Seshadri-ample...