Annali di Matematica Pura ed Applicata

, Volume 115, Issue 1, pp 349–379 | Cite as

Alcuni elementi di teoria degli ipercorpi

  • Giovanni Gerotto


The field of rational functions over an abelian variety fails to be a hyperalgebra (« bigebra ») by a technical detail in one of the axioms. The paper sketches the first steps of a theory of « hyperfields » (bields?), which would include both (discrete) hyperalgebras and function fields on group-varieties.


  1. [1]
    I. Barsotti,A note on abelian varieties, Rend. Circ. Mat. Palermo, ser. II,2 (1953).Google Scholar
  2. [2]
    I. Barsotti,Considerazioni sulle funzioni theta, Symposia Mathematica,3 (1970).Google Scholar
  3. [3]
    A. Weil,Courbes algèbriques et variété abéliennes, Paris (1971).Google Scholar

Copyright information

© Fondazione Annali di Matematica Pura ed Applicata 1977

Authors and Affiliations

  • Giovanni Gerotto
    • 1
  1. 1.Padova

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