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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Pierre Deligne, David Mumford (1969)
Publications Mathématiques de l'IHÉS
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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 .
David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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Kieran G. O'Grady (1989)
Compositio Mathematica
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Scott Nollet, Enrico Schlesinger (2003)
Collectanea Mathematica
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Let F be a smooth projective surface contained in a smooth threefold T, and let X be the scheme corresponding to the divisor 2F on T. A locally Cohen-Macaulay curve C included in X gives rise to two effective divisors on F, namely the largest divisor P contained in C intersection F and the curve R residual to C intersection F in C. We show that under suitable hypotheses a general deformation of R and P lifts to a deformation of C on X, and give applications to the study of Hilbert schemes...