Titlebook: Arithmetic Geometry; Gary Cornell,Joseph H. Silverman Book 1986 Springer-Verlag New York Inc. 1986 Abelian variety.Blowing up.Compactifica

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Overview of .NET Application Architectureof references at the end of this chapter). For the algebraic-geometric study of abelian varieties over arbitrary fields, the reader is referred to [M-AV] and to the articles of J. S. Milne in this volume.

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Some Historical Notes,ly makes it much easier to state them than it was at the time when they were first used. Of course, this does not mean that we intend to critize those who invented them, which had to state them at a time when the technical means available were much weaker than those we have today.

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,Abelian Varieties over ?,of references at the end of this chapter). For the algebraic-geometric study of abelian varieties over arbitrary fields, the reader is referred to [M-AV] and to the articles of J. S. Milne in this volume.

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APEX

,Abelian Varieties over ?,ct. In the first section we prove some basic results on complex tori. The second section is devoted to a discussion of isogenics. The third section (the longest) describes the necessary and sufficient conditions that a complex torus must satisfy in order to be isomorphic to an abelian variety. In th

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