Extension of morphisms defined on a divisor

DOI10.1007/BF01458322zbMath0595.14005OpenAlexW2014927503MaRDI QIDQ1077477

Fernando Serrano

Publication date: 1987

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/164256

zbMATH Keywords

canonical divisoreffective smooth divisorextension of divisor morphismmorphism of divisor to curvevanishing theorem for cohomology

Mathematics Subject Classification ID

Divisors, linear systems, invertible sheaves (14C20) Local structure of morphisms in algebraic geometry: étale, flat, etc. (14B25)

Related Items (16)

Unnamed Item ⋮ Curves and \(0\)-cycles on projective surfaces ⋮ Free pencils on divisors ⋮ Double structures on bordiga surfaces ⋮ The gonality of curves on a Hirzebruch surface ⋮ Vanishing theorems and adjoint linear systems on normal surfaces in positive characteristic ⋮ A LOWER BOUND FOR THE GONALITY CONJECTURE ⋮ The gonality and the Clifford index of curves on a toric surface ⋮ The kernel of the monodromy of the universal family of degree d smooth plane curves ⋮ Brill-Noether theory of curves on Enriques surfaces. I: The positive cone and gonality ⋮ Projective surfaces with bi-elliptic hyperplane sections ⋮ Exceptional linear systems on curves on Del Pezzo surfaces ⋮ A cohomological interpretation of Bogomolov’s instability ⋮ Higher syzygies of surfaces with numerically trivial canonical bundle ⋮ Fibred rational surfaces with extremal Mordell-Weil lattices ⋮ Trigonal hyperplane sections of projective surfaces

Cites Work

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• On the hyperplane section principle of Lefschetz
• Hyperplane sections of projective surfaces. I: The adjunction mapping
• On Zariski problem
• On the 2-connectedness of very ample divisors on a surface
• Surfaces with a hyperelliptic hyperplane section
• The theorem of Riemann-Roch for high multiples of an effective divisor on an algebraic surface
• Canonical models of surfaces of general type
• On threefolds with low sectional genus
• The adjunction mapping and hyperelliptic divisors on a surface.
• Projective Models of K - 3 Surfaces
• Special Linear Systems on Curves Lying on a K 3 Surface
• Lectures on Curves on an Algebraic Surface. (AM-59)

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