Dual Abelian Variety
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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a dual abelian variety can be defined from an abelian variety A, defined over a field K.The theory was first put into a good form when K was the field of complex numbers. In that case there is a general form of duality between the Albanese variety of a complete variety V, and its Picard variety; this was realised, for definitions in terms of complex tori, as soon as André Weil had given a general definition of Albanese variety. For an abelian variety ...
Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, a dual abelian variety can be defined from an abelian variety A, defined over a field K.The theory was first put into a good form when K was the field of complex numbers. In that case there is a general form of duality between the Albanese variety of a complete variety V, and its Picard variety; this was realised, for definitions in terms of complex tori, as soon as André Weil had given a general definition of Albanese variety. For an abelian variety A, the Albanese variety is A itself, so the dual should be Pic0(A), the connected component of what in contemporary terminology is the Picard scheme.
