Abelian variety
In mathematics, particularly in algebraic geometry, complex analysis and number theory, an abelian variety is a complex torus that can be embedded into projective space. Also it is used for the generalization of this concept studied in algebraic geometry over base fields more general than the complex numbers. One-dimensional abelian varieties are elliptic curves.
Related Topics:
Algebraic geometry - Complex analysis - Number theory - Complex - Torus - Projective space - Complex numbers - Elliptic curve
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~ Table of Content ~
| ► | Introduction |
| ► | History and motivation |
| ► | Analytic theory |
| ► | Algebraic definition |
| ► | Structure of the group of points |
| ► | Polarization and dual abelian variety |
| ► | Abelian scheme |
| ► | See also |
| ► | Further reading |
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