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Genus One Fibration

  • François R. Cossec
  • Igor V. Dolgachev
Part of the Progress in Mathematics book series (PM, volume 76)

Abstract

Let S be a regular integral scheme of dimension 1, η be its generic point and K = K(η) be its residue field. A projective morphism f: X → S is said to be a genus 1 fibration if X is regular and irreducible, and the general fibre Xη is a geometrically integral regular algebraic curve of arithmetic genus 1.

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Copyright information

© Birkhäuser Boston 1989

Authors and Affiliations

  • François R. Cossec
    • 1
  • Igor V. Dolgachev
    • 2
  1. 1.MATRASaint-Quentin-en-YvenFrance
  2. 2.Department of MathematicsUniversity of MichiganAnn ArborUSA

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