Irreducibility of some families of linear series with Brill-Noether number. I
David Eisenbud, Joe Harris (1989)
Annales scientifiques de l'École Normale Supérieure
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Displaying similar documents to “Irreducibility and monodromy of some families of linear series”
Irreducibility of some families of linear series with Brill-Noether number. I
Limit Weierstrass schemes on stable curves with 2 irreducible components
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 .
Postulation and gonality for projective curves
Edoardo Ballico (1988)
Rendiconti del Seminario Matematico della Università di Padova
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Real algebraic curves
Benedict H. Gross, Joe Harris (1981)
Annales scientifiques de l'École Normale Supérieure
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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
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Generalized Mukai conjecture for special Fano varieties
Marco Andreatta, Elena Chierici, Gianluca Occhetta (2004)
Open Mathematics
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Let X be a Fano variety of dimension n, pseudoindex i X and Picard number ρX. A generalization of a conjecture of Mukai says that ρX(i X−1)≤n. We prove that the conjecture holds for a variety X of pseudoindex i X≥n+3/3 if X admits an unsplit covering family of rational curves; we also prove that this condition is satisfied if ρX> and either X has a fiber type extremal contraction or has not small extremal contractions. Finally we prove that the conjecture holds if X has dimension...