Canonical divisors and the additivity of the Kodaira dimension for morphisms or relative dimension one
Eckart Viehweg (1977)
Compositio Mathematica
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Eckart Viehweg (1977)
Compositio Mathematica
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Stefan Kebekus, Sándor J. Kovács (2004)
Annales de l’institut Fourier
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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.
Jun-Muk Hwang, S. Ramanan (2004)
Annales scientifiques de l'École Normale Supérieure
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Maurizio Cornalba, Joe Harris (1988)
Annales scientifiques de l'École Normale Supérieure
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Marc Coppens, Letterio Gatto (2001)
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
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We are concerned with limits of Weierstrass points under degeneration of smooth curves to stable curves of non compact type, union of two irreducible smooth components meeting transversely at points. The case having already been treated by Eisenbud and Harris in [8], we analyze the situation for .