Abelian surface
In mathematics, an abelian surface is 2-dimensional abelian variety. One-dimensional complex tori are just elliptic curves and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic. The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties.Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties. Criteria to be a product of two elliptic curves (up to isogeny) were a popular study in the nineteenth century. Hodge diamond:
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Abelian surface
In mathematics, an abelian surface is 2-dimensional abelian variety. One-dimensional complex tori are just elliptic curves and are all algebraic, but Riemann discovered that most complex tori of dimension 2 are not algebraic. The algebraic ones are called abelian surfaces and are exactly the 2-dimensional abelian varieties.Most of their theory is a special case of the theory of higher-dimensional tori or abelian varieties. Criteria to be a product of two elliptic curves (up to isogeny) were a popular study in the nineteenth century. Hodge diamond:
has abstract
In mathematics, an abelian sur ...... an variety of a genus 2 curve.
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数学では、アーベル曲面 (abelian surface) ...... 例： 2つの楕円曲線の積。種数 2 の曲線のヤコビ多様体。
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In mathematics, an abelian sur ...... teenth century. Hodge diamond:
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数学では、アーベル曲面 (abelian surface) ...... 例： 2つの楕円曲線の積。種数 2 の曲線のヤコビ多様体。
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Abelian surface
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アーベル曲面
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