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Analytic theory of abelian varieties / H. P. F. Swinnerton-Dyer

Auteur principal : Swinnerton-Dyer, Henry Peter Francis, 1927-2018, AuteurType de document : MonographieCollection : London Mathematical Society lecture notes series, 14Langue : anglais.Pays : Grande Bretagne.Éditeur : Cambridge : Cambridge University Press, 1974Description : 1 vol. (VIII-90 p.) ; 24 cmISBN : 0521205263.ISSN : 0076-0552.Bibliographie : Bibliogr. p. 87-88. Index.Sujet MSC : 14K20, Abelian varieties and schemes, Analytic theory of abelian varieties; abelian integrals and differentials
14Kxx, Algebraic geometry - Abelian varieties and schemes
14-02, Research exposition (monographs, survey articles) pertaining to algebraic geometry
En-ligne : Zentralblatt | MathSciNet | CUP
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Bibliogr. p. 87-88. Index

The study of abelian manifolds forms a natural generalization of the theory of elliptic functions, that is, of doubly periodic functions of one complex variable. When an abelian manifold is embedded in a projective space it is termed an abelian variety in an algebraic geometrical sense. This introduction presupposes little more than a basic course in complex variables. The notes contain all the material on abelian manifolds needed for application to geometry and number theory, although they do not contain an exposition of either application. Some geometrical results are included however. (source : CUP)

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