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Albanese variety
In mathematics, the Albanese variety ''A''(''V''), named for Giacomo Albanese, is a generalization of the Jacobian variety of a curve.
==Precise statement==
The Albanese variety is the abelian variety generated by a variety ''V'' taking a given point of ''V'' to the identity of ''A''. In other words there is a morphism from the variety ''V'' to its Albanese variety ''A''(''V''), such that any morphism from ''V'' to an abelian variety (taking the given point to the identity) factors uniquely through ''A''(''V''). For complex manifolds defined the Albanese variety in a similar way, as a morphism from ''V'' to a torus ''A''(''V'') such that any morphism to a torus factors uniquely through this map. (It is an analytic variety in this case; it need not be algebraic.)
抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』
■ウィキペディアで「Albanese variety」の詳細全文を読む
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