Hodge Index Theorem and the Adjunction Formula

  • Serge Lang


In a fundamental paper [Ara 2], Arakelov showed how to complete a family of curves over the ring of integers of a number field by introducing the components at infinity, and getting a divisor class group which in many ways plays the role of the Picard group on complete surfaces.


Line Sheaf Residue Theorem Canonical Sheaf Cartier Divisor Horizontal Curve 
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Copyright information

© Springer Science+Business Media New York 1988

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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