[BOOK][B] Abelian varieties
D Mumford, CP Ramanujam, JI Manin - 1974 - math.purdue.edu
D Mumford, CP Ramanujam, JI Manin
1974•math.purdue.eduAn abelian variety is a higher dimensional version of an elliptic curve. Here is the precise
definition. Over a field k, an abelian variety consists of a smooth projective variety X over k, a
k-rational point 0 and morphisms+: X⇥ X! X and−: X! X which make it into a group. We have
the following basic facts:
definition. Over a field k, an abelian variety consists of a smooth projective variety X over k, a
k-rational point 0 and morphisms+: X⇥ X! X and−: X! X which make it into a group. We have
the following basic facts:
An abelian variety is a higher dimensional version of an elliptic curve. Here is the precise definition. Over a field k, an abelian variety consists of a smooth projective variety X over k, a k-rational point 0 and morphisms+: X⇥ X! X and−: X! X which make it into a group. We have the following basic facts:
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