01111nam a2200193 a 4500
9781107087033
1107087031
9780521205269
0521205263
512.2
SWI
Swinnerton-Dyer, H.P.F.
Analytic theory of Abelian varieties
Cambridge :
University Press,
1974.
viii, 90p.
London Mathematical Society lecture note series, 14.
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.
Abelian varieties.
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