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Preliminaries

  • Gerd Faltings
  • Ching-Li Chai
Chapter
Part of the Ergebnisse der Mathematik und ihrer Grenzgebiete book series (MATHE3, volume 22)

Abstract

An abelian scheme is a group scheme π : AS which is smooth, proper with (geometrically) connected fibres. A basic fact is that an abelian scheme is actually a commutative group scheme.

Keywords

Line Bundle Abelian Variety Finite Type Hilbert Scheme Discrete Valuation Ring 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 1990

Authors and Affiliations

  • Gerd Faltings
    • 1
  • Ching-Li Chai
    • 2
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA
  2. 2.Department of MathematicsUniversity of PennsylvaniaPhiladelphiaUSA

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