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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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 .
Lucia Caporaso, Filippo Viviani (2011)
Journal of the European Mathematical Society
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We study the Torelli morphism from the moduli space of stable curves to the moduli space of principally polarized stable semi-abelic pairs. We give two characterizations of its fibers, describe its injectivity locus, and give a sharp upper bound on the cardinality of finite fibers. We also bound the dimension of infinite fibers.
Edoardo Ballico (2015)
Annales UMCS, Mathematica
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Here we study the Brill-Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components
Pierre Deligne, David Mumford (1969)
Publications Mathématiques de l'IHÉS
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Edoardo Ballico (2015)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica
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Here we study the Brill–Noether theory of “extremal” Cornalba’s theta-characteristics on stable curves C of genus g, where “extremal” means that they are line bundles on a quasi-stable model of C with #(Sing(C)) exceptional components.
David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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Enrico Arbarello (1974)
Compositio Mathematica
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