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Universal Norms on Abelian Varieties over Global Function Fields

✍ Scribed by Matthew A. Papanikolas

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
169 KB
Volume
94
Category
Article
ISSN
0022-314X

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✦ Synopsis

We examine the Mazur-Tate canonical height pairing defined between an abelian variety over a global field and its dual. We show in the case of global function fields that certain of these pairings are annihilated by universal norms coming from Carlitz cyclotomic extensions. Furthermore, for elliptic curves we find conditions for the triviality of these universal norms.

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