01224nam a2200205 a 4500020001800000020001500018020001800033020001500051082001500066100002900081245004100110260004300151300001500194490005700209520060200266650002300868942000800891999001700899952010200916 a9781107087033 a1107087031 a9780521205269 a0521205263 a512.2bSWI aSwinnerton-Dyer, H.P.F. aAnalytic theory of Abelian varieties aCambridge :bUniversity Press, c1974. aviii, 90p. aLondon Mathematical Society lecture note series, 14. a
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. aAbelian varieties. cREF c13877d13877 001040708RaMAINbMAINcREFd1994-10-06ePurchasedg382.50o512.2 SWIp002688r2014-06-03yREF